2896021132900 has 405 divisors, whose sum is σ = 7715026651353. Its totient is φ = 943461288000.

The previous prime is 2896021132789. The next prime is 2896021132943. The reversal of 2896021132900 is 92311206982.

The square root of 2896021132900 is 1701770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1042567607844 + 1853453525056 = 1021062^2 + 1361416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19178947825 + ... + 19178947975.

Almost surely, 2^{2896021132900} is an apocalyptic number.

2896021132900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2896021132900 is the 1701770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2896021132900

2896021132900 is an abundant number, since it is smaller than the sum of its proper divisors (4819005518453).

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

2896021132900 is an equidigital number, since it uses as much as digits as its factorization.

2896021132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 2896021132900 in words is "two trillion, eight hundred ninety-six billion, twenty-one million, one hundred thirty-two thousand, nine hundred".