2561502000 has 80 divisors (see below), whose sum is σ = 8258301792. Its totient is φ = 683065600.

The previous prime is 2561501963. The next prime is 2561502001. The reversal of 2561502000 is 2051652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2561502000² = 13122584992008000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2561502001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207459 + ... + 219458.

Almost surely, 2^2561502000 is an apocalyptic number.

2561502000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561502000 is an abundant number, since it is smaller than the sum of its proper divisors (5696799792).

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

2561502000 is a wasteful number, since it uses less digits than its factorization.

2561502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426943 (or 426927 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2561502000 is about 50611.2833269420. The cubic root of 2561502000 is about 1368.2482450215.

Adding to 2561502000 its reverse (2051652), we get a palindrome (2563553652).

The spelling of 2561502000 in words is "two billion, five hundred sixty-one million, five hundred two thousand".