2500553859408 has 640 divisors, whose sum is σ = 8256328704000. Its totient is φ = 717639229440.

The previous prime is 2500553859373. The next prime is 2500553859457. The reversal of 2500553859408 is 8049583550052.

It is a happy number.

2500553859408 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 553 + 85 + 9 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×2500553859408² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1603946533 + ... + 1603948091.

It is an arithmetic number, because the mean of its divisors is an integer number (12900513600).

Almost surely, 2^{2500553859408} 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 2500553859408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128164352000).

2500553859408 is an abundant number, since it is smaller than the sum of its proper divisors (5755774844592).

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

2500553859408 is a wasteful number, since it uses less digits than its factorization.

2500553859408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 2500553859408 in words is "two trillion, five hundred billion, five hundred fifty-three million, eight hundred fifty-nine thousand, four hundred eight".