2402465900121 has 189 divisors, whose sum is σ = 4293249193701. Its totient is φ = 1339860091248.

The previous prime is 2402465900113. The next prime is 2402465900137. The reversal of 2402465900121 is 1210095642042.

It is a happy number.

The square root of 2402465900121 is 1549989.

It is a perfect power (a square), and thus also a powerful number.

2402465900121 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 46 + 590 + 0 + 1 + 21 = 666.

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 2402465900121 - 2³ = 2402465900113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2402465900921) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 17283927270 + ... + 17283927408.

Almost surely, 2^{2402465900121} is an apocalyptic number.

2402465900121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2402465900121 is the 1549989-th square number.

2402465900121 is the 774995-th centered octagonal number.

It is an amenable number.

2402465900121 is a deficient number, since it is larger than the sum of its proper divisors (1890783293580).

2402465900121 is an frugal number, since it uses more digits than its factorization.

2402465900121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 2402465900121 by its sum of digits (36), we get a square (86488772404356 = 9299934²).

The spelling of 2402465900121 in words is "two trillion, four hundred two billion, four hundred sixty-five million, nine hundred thousand, one hundred twenty-one".