2506781088 has 192 divisors, whose sum is σ = 8444056320. Its totient is φ = 708673536.

The previous prime is 2506781071. The next prime is 2506781099. The reversal of 2506781088 is 8801876052.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584520 + ... + 588792.

It is an arithmetic number, because the mean of its divisors is an integer number (43979460).

Almost surely, 2^2506781088 is an apocalyptic number.

2506781088 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 2506781088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222028160).

2506781088 is an abundant number, since it is smaller than the sum of its proper divisors (5937275232).

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

2506781088 is a wasteful number, since it uses less digits than its factorization.

2506781088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 2506781088 is about 50067.7649591032. The cubic root of 2506781088 is about 1358.4348141260.

The spelling of 2506781088 in words is "two billion, five hundred six million, seven hundred eighty-one thousand, eighty-eight".