2576000000000 has 560 divisors, whose sum is σ = 7679530463616. Its totient is φ = 844800000000.

The previous prime is 2575999999997. The next prime is 2576000000059. The reversal of 2576000000000 is 6752.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111999999989 + ... + 112000000011.

Almost surely, 2^{2576000000000} is an apocalyptic number.

2576000000000 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 2576000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839765231808).

2576000000000 is an abundant number, since it is smaller than the sum of its proper divisors (5103530463616).

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

2576000000000 is an frugal number, since it uses more digits than its factorization.

2576000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

Adding to 2576000000000 its reverse (6752), we get a palindrome (2576000006752).

The spelling of 2576000000000 in words is "two trillion, five hundred seventy-six billion", and thus it is an aban number.