2590834680 has 512 divisors, whose sum is σ = 11010816000. Its totient is φ = 527523840.

The previous prime is 2590834619. The next prime is 2590834817. The reversal of 2590834680 is 864380952.

2590834680 is a `hidden beast` number, since 25 + 90 + 83 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2441350 + ... + 2442410.

It is an arithmetic number, because the mean of its divisors is an integer number (21505500).

Almost surely, 2^2590834680 is an apocalyptic number.

2590834680 is a gapful number since it is divisible by the number (20) 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 2590834680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505408000).

2590834680 is an abundant number, since it is smaller than the sum of its proper divisors (8419981320).

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

2590834680 is a wasteful number, since it uses less digits than its factorization.

2590834680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2590834680 is about 50900.2424355720. The cubic root of 2590834680 is about 1373.4512024283.

The spelling of 2590834680 in words is "two billion, five hundred ninety million, eight hundred thirty-four thousand, six hundred eighty".