2506911000 has 128 divisors (see below), whose sum is σ = 8532725760. Its totient is φ = 607728000.

The previous prime is 2506910983. The next prime is 2506911019. The reversal of 2506911000 is 1196052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 4984 + ... + 70983.

It is an arithmetic number, because the mean of its divisors is an integer number (66661920).

Almost surely, 2^2506911000 is an apocalyptic number.

2506911000 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 2506911000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266362880).

2506911000 is an abundant number, since it is smaller than the sum of its proper divisors (6025814760).

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

2506911000 is a wasteful number, since it uses less digits than its factorization.

2506911000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76002 (or 75988 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 2506911000 is about 50069.0623039817. The cubic root of 2506911000 is about 1358.4582803335.

The spelling of 2506911000 in words is "two billion, five hundred six million, nine hundred eleven thousand".