2506951680 has 176 divisors, whose sum is σ = 8064852480. Its totient is φ = 664649728.

The previous prime is 2506951639. The next prime is 2506951693. The reversal of 2506951680 is 861596052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3486361 + ... + 3487079.

Almost surely, 2^2506951680 is an apocalyptic number.

2506951680 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 2506951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032426240).

2506951680 is an abundant number, since it is smaller than the sum of its proper divisors (5557900800).

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

2506951680 is a wasteful number, since it uses less digits than its factorization.

2506951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 2506951680 is about 50069.4685412178. The cubic root of 2506951680 is about 1358.4656282587.

The spelling of 2506951680 in words is "two billion, five hundred six million, nine hundred fifty-one thousand, six hundred eighty".