2900576000000 has 672 divisors, whose sum is σ = 8660814140160. Its totient is φ = 949555200000.

The previous prime is 2900575999973. The next prime is 2900576000011. The reversal of 2900576000000 is 6750092.

It is a super-2 number, since 2×2900576000000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5151999719 + ... + 5152000281.

It is an arithmetic number, because the mean of its divisors is an integer number (12888116280).

Almost surely, 2^{2900576000000} is an apocalyptic number.

2900576000000 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 2900576000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330407070080).

2900576000000 is an abundant number, since it is smaller than the sum of its proper divisors (5760238140160).

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

2900576000000 is an frugal number, since it uses more digits than its factorization.

2900576000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The spelling of 2900576000000 in words is "two trillion, nine hundred billion, five hundred seventy-six million", and thus it is an aban number.