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2042677460 = 2251910352189
BaseRepresentation
bin111100111000000…
…1100100011010100
312021100122202200202
41321300030203110
513140411134320
6534405400032
7101422320605
oct17160144324
95240582622
102042677460
1195904689a
12490109018
1326726a7b5
14155407dac
15be4e2b75
hex79c0c8d4

2042677460 has 48 divisors (see below), whose sum is σ = 4559318400. Its totient is φ = 766537344.

The previous prime is 2042677423. The next prime is 2042677471. The reversal of 2042677460 is 647762402.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13046 + ... + 65234.

It is an arithmetic number, because the mean of its divisors is an integer number (94985800).

Almost surely, 22042677460 is an apocalyptic number.

2042677460 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 2042677460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279659200).

2042677460 is an abundant number, since it is smaller than the sum of its proper divisors (2516640940).

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

2042677460 is a wasteful number, since it uses less digits than its factorization.

2042677460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52320 (or 52318 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 2042677460 is about 45195.9894238416. The cubic root of 2042677460 is about 1268.8197562171.

The spelling of 2042677460 in words is "two billion, forty-two million, six hundred seventy-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 380 412 515 1030 1957 2060 3914 7828 9785 19570 39140 52189 104378 208756 260945 521890 991591 1043780 1983182 3966364 4957955 5375467 9915910 10750934 19831820 21501868 26877335 53754670 102133873 107509340 204267746 408535492 510669365 1021338730 2042677460