2625024456252 has 144 divisors (see below), whose sum is σ = 7620655835520. Its totient is φ = 753499843200.

The previous prime is 2625024456247. The next prime is 2625024456289. The reversal of 2625024456252 is 2526544205262.

2625024456252 is a `hidden beast` number, since 2 + 6 + 2 + 502 + 44 + 56 + 2 + 52 = 666.

It is a super-2 number, since 2×2625024456252² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2625024456198 and 2625024456207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77051302 + ... + 77085362.

It is an arithmetic number, because the mean of its divisors is an integer number (52921221080).

Almost surely, 2^{2625024456252} is an apocalyptic number.

2625024456252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2625024456252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810327917760).

2625024456252 is an abundant number, since it is smaller than the sum of its proper divisors (4995631379268).

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

2625024456252 is a wasteful number, since it uses less digits than its factorization.

2625024456252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44344 (or 44339 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 2625024456252 in words is "two trillion, six hundred twenty-five billion, twenty-four million, four hundred fifty-six thousand, two hundred fifty-two".