2590098454272 has 216 divisors, whose sum is σ = 8047880044176. Its totient is φ = 737353580544.

The previous prime is 2590098454253. The next prime is 2590098454277. The reversal of 2590098454272 is 2724548900952.

2590098454272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2590098454272² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590098454277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10299828 + ... + 10548300.

Almost surely, 2^{2590098454272} 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 2590098454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023940022088).

2590098454272 is an abundant number, since it is smaller than the sum of its proper divisors (5457781589904).

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

2590098454272 is a wasteful number, since it uses less digits than its factorization.

2590098454272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248783 (or 248762 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 2590098454272 in words is "two trillion, five hundred ninety billion, ninety-eight million, four hundred fifty-four thousand, two hundred seventy-two".