2500251689556 has 288 divisors, whose sum is σ = 6830320896000. Its totient is φ = 790675157376.

The previous prime is 2500251689543. The next prime is 2500251689603. The reversal of 2500251689556 is 6559861520052.

It is a happy number.

2500251689556 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 2 + 5 + 1 + 6 + 89 + 556 = 666.

It is a super-2 number, since 2×2500251689556² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 969464275 + ... + 969466853.

It is an arithmetic number, because the mean of its divisors is an integer number (23716392000).

Almost surely, 2^{2500251689556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500251689556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415160448000).

2500251689556 is an abundant number, since it is smaller than the sum of its proper divisors (4330069206444).

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

2500251689556 is a wasteful number, since it uses less digits than its factorization.

2500251689556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 2500251689556 in words is "two trillion, five hundred billion, two hundred fifty-one million, six hundred eighty-nine thousand, five hundred fifty-six".