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2466131140 = 22511411012707
BaseRepresentation
bin1001001011111110…
…0010110011000100
320100212110102221101
42102333202303010
520022312144030
61044413425444
7115053524464
oct22277426304
96325412841
102466131140
111056080910
12589a9b284
13303c014c5
14195755ba4
15e678a7ca
hex92fe2cc4

2466131140 has 96 divisors (see below), whose sum is σ = 5846940288. Its totient is φ = 865920000.

The previous prime is 2466131131. The next prime is 2466131159. The reversal of 2466131140 is 411316642.

2466131140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2466131099 and 2466131108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909667 + ... + 912373.

It is an arithmetic number, because the mean of its divisors is an integer number (60905628).

Almost surely, 22466131140 is an apocalyptic number.

2466131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2466131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923470144).

2466131140 is an abundant number, since it is smaller than the sum of its proper divisors (3380809148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2466131140 is a wasteful number, since it uses less digits than its factorization.

2466131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2466131140 is about 49660.1564637084. The cubic root of 2466131140 is about 1351.0519720024.

Adding to 2466131140 its reverse (411316642), we get a palindrome (2877447782).

The spelling of 2466131140 in words is "two billion, four hundred sixty-six million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 101 110 164 202 205 220 404 410 451 505 820 902 1010 1111 1804 2020 2222 2255 2707 4141 4444 4510 5414 5555 8282 9020 10828 11110 13535 16564 20705 22220 27070 29777 41410 45551 54140 59554 82820 91102 110987 119108 148885 182204 221974 227755 273407 297770 443948 455510 546814 554935 595540 911020 1093628 1109870 1220857 1367035 2219740 2441714 2734070 3007477 4883428 5468140 6014954 6104285 11209687 12029908 12208570 15037385 22419374 24417140 30074770 44838748 56048435 60149540 112096870 123306557 224193740 246613114 493226228 616532785 1233065570 2466131140