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2542430020 = 2251327113607
BaseRepresentation
bin1001011110001010…
…0110011101000100
320120012000211022211
42113202212131010
520201330230040
61100141033204
7120001204264
oct22742463504
96505024284
102542430020
111095154339
125ab555804
13316967080
141a19377a4
15ed30c8ea
hex978a6744

2542430020 has 48 divisors (see below), whose sum is σ = 5753518848. Its totient is φ = 938136960.

The previous prime is 2542429999. The next prime is 2542430027. The reversal of 2542430020 is 200342452.

It is a junction number, because it is equal to n+sod(n) for n = 2542429973 and 2542430000.

It is not an unprimeable number, because it can be changed into a prime (2542430027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703057 + ... + 706663.

It is an arithmetic number, because the mean of its divisors is an integer number (119864976).

Almost surely, 22542430020 is an apocalyptic number.

2542430020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542430020 is an abundant number, since it is smaller than the sum of its proper divisors (3211088828).

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

2542430020 is a wasteful number, since it uses less digits than its factorization.

2542430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2542430020 is about 50422.5150106577. The cubic root of 2542430020 is about 1364.8439614644.

Adding to 2542430020 its reverse (200342452), we get a palindrome (2742772472).

The spelling of 2542430020 in words is "two billion, five hundred forty-two million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2711 3607 5422 7214 10844 13555 14428 18035 27110 35243 36070 46891 54220 70486 72140 93782 140972 176215 187564 234455 352430 468910 704860 937820 9778577 19557154 39114308 48892885 97785770 127121501 195571540 254243002 508486004 635607505 1271215010 2542430020