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2542232040 = 2335149142183
BaseRepresentation
bin1001011110000111…
…0110000111101000
320120011122202202020
42113201312013220
520201302411130
61100132504440
7116666421135
oct22741660750
96504582666
102542232040
111095029617
125ab47b120
133168c7c1a
141a18c558c
15ed2bde10
hex978761e8

2542232040 has 64 divisors (see below), whose sum is σ = 7677936000. Its totient is φ = 673373952.

The previous prime is 2542232039. The next prime is 2542232093. The reversal of 2542232040 is 402322452.

It is a happy number.

2542232040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2542232040.

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, 53212 + ... + 88971.

It is an arithmetic number, because the mean of its divisors is an integer number (119967750).

Almost surely, 22542232040 is an apocalyptic number.

2542232040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542232040 is an abundant number, since it is smaller than the sum of its proper divisors (5135703960).

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

2542232040 is a wasteful number, since it uses less digits than its factorization.

2542232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142346 (or 142342 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2542232040 is about 50420.5517621535. The cubic root of 2542232040 is about 1364.8085335707.

Adding to 2542232040 its reverse (402322452), we get a palindrome (2944554492).

The spelling of 2542232040 in words is "two billion, five hundred forty-two million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2980 3576 4470 5960 8940 17880 142183 284366 426549 568732 710915 853098 1137464 1421830 1706196 2132745 2843660 3412392 4265490 5687320 8530980 17061960 21185267 42370534 63555801 84741068 105926335 127111602 169482136 211852670 254223204 317779005 423705340 508446408 635558010 847410680 1271116020 2542232040