2261025620400 has 120 divisors (see below), whose sum is σ = 7243381818000. Its totient is φ = 602893291520.

The previous prime is 2261025620393. The next prime is 2261025620419. The reversal of 2261025620400 is 40265201622.

It is a happy number.

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

It is a super-2 number, since 2×2261025620400² (a number of 26 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17032684 + ... + 17164916.

It is an arithmetic number, because the mean of its divisors is an integer number (60361515150).

Almost surely, 2^{2261025620400} is an apocalyptic number.

2261025620400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261025620400 is an abundant number, since it is smaller than the sum of its proper divisors (4982356197600).

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

2261025620400 is a wasteful number, since it uses less digits than its factorization.

2261025620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146503 (or 146492 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 2261025620400 in words is "two trillion, two hundred sixty-one billion, twenty-five million, six hundred twenty thousand, four hundred".