262604420400 has 120 divisors (see below), whose sum is σ = 961382308864. Its totient is φ = 60023865600.

The previous prime is 262604420381. The next prime is 262604420413. The reversal of 262604420400 is 4024406262.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×262604420400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15622816 + ... + 15639615.

Almost surely, 2^262604420400 is an apocalyptic number.

262604420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

262604420400 is an abundant number, since it is smaller than the sum of its proper divisors (698777888464).

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

262604420400 is a wasteful number, since it uses less digits than its factorization.

262604420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31262459 (or 31262448 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 262604420400 its reverse (4024406262), we get a palindrome (266628826662).

The spelling of 262604420400 in words is "two hundred sixty-two billion, six hundred four million, four hundred twenty thousand, four hundred".