2590451248 has 240 divisors, whose sum is σ = 6649574400. Its totient is φ = 975891840.

The previous prime is 2590451239. The next prime is 2590451249. The reversal of 2590451248 is 8421540952.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2590451248.

It is not an unprimeable number, because it can be changed into a prime (2590451249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31210215 + ... + 31210297.

It is an arithmetic number, because the mean of its divisors is an integer number (27706560).

Almost surely, 2^2590451248 is an apocalyptic number.

2590451248 is a gapful number since it is divisible by the number (28) 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 2590451248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324787200).

2590451248 is an abundant number, since it is smaller than the sum of its proper divisors (4059123152).

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

2590451248 is a wasteful number, since it uses less digits than its factorization.

2590451248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 2590451248 is about 50896.4757915516. The cubic root of 2590451248 is about 1373.3834441974.

The spelling of 2590451248 in words is "two billion, five hundred ninety million, four hundred fifty-one thousand, two hundred forty-eight".