2965525084900 has 243 divisors, whose sum is σ = 7612371435249. Its totient is φ = 999847618560.

The previous prime is 2965525084889. The next prime is 2965525084909. The reversal of 2965525084900 is 94805255692.

The square root of 2965525084900 is 1722070.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2352536304804 + 612988780096 = 1533798^2 + 782936^2 .

It is not an unprimeable number, because it can be changed into a prime (2965525084909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8799777532 + ... + 8799777868.

Almost surely, 2^{2965525084900} is an apocalyptic number.

2965525084900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2965525084900 is the 1722070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965525084900

2965525084900 is an abundant number, since it is smaller than the sum of its proper divisors (4646846350349).

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

2965525084900 is an equidigital number, since it uses as much as digits as its factorization.

2965525084900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 55.

The spelling of 2965525084900 in words is "two trillion, nine hundred sixty-five billion, five hundred twenty-five million, eighty-four thousand, nine hundred".