2890748048400 has 405 divisors, whose sum is σ = 10286028009309. Its totient is φ = 751796478720.

The previous prime is 2890748048393. The next prime is 2890748048473. The reversal of 2890748048400 is 48408470982.

The square root of 2890748048400 is 1700220.

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

2890748048400 is a `hidden beast` number, since 2 + 8 + 90 + 74 + 8 + 0 + 484 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1040669297424 + 1850078750976 = 1020132^2 + 1360176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4386567271 + ... + 4386567929.

Almost surely, 2^{2890748048400} is an apocalyptic number.

2890748048400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2890748048400 is the 1700220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890748048400

2890748048400 is an abundant number, since it is smaller than the sum of its proper divisors (7395279960909).

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

2890748048400 is an equidigital number, since it uses as much as digits as its factorization.

2890748048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2890748048400 in words is "two trillion, eight hundred ninety billion, seven hundred forty-eight million, forty-eight thousand, four hundred".