2260634456400 has 120 divisors (see below), whose sum is σ = 7242037417440. Its totient is φ = 602796587520.

The previous prime is 2260634456393. The next prime is 2260634456401. The reversal of 2260634456400 is 46544360622.

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

It is a super-2 number, since 2×2260634456400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260634456401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21534439 + ... + 21639161.

It is an arithmetic number, because the mean of its divisors is an integer number (60350311812).

Almost surely, 2^{2260634456400} is an apocalyptic number.

2260634456400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260634456400 is an abundant number, since it is smaller than the sum of its proper divisors (4981402961040).

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

2260634456400 is a wasteful number, since it uses less digits than its factorization.

2260634456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122733 (or 122722 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 2260634456400 in words is "two trillion, two hundred sixty billion, six hundred thirty-four million, four hundred fifty-six thousand, four hundred".