2789952400 has 135 divisors (see below), whose sum is σ = 7125470001. Its totient is φ = 1049639040.

The previous prime is 2789952377. The next prime is 2789952421. The reversal of 2789952400 is 42599872.

The square root of 2789952400 is 52820.

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., 1004382864 + 1785569536 = 31692^2 + 42256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20071531 + ... + 20071669.

Almost surely, 2^2789952400 is an apocalyptic number.

2789952400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2789952400 is the 52820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2789952400

2789952400 is an abundant number, since it is smaller than the sum of its proper divisors (4335517601).

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

2789952400 is a wasteful number, since it uses less digits than its factorization.

2789952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The cubic root of 2789952400 is about 1407.7718105796.

The spelling of 2789952400 in words is "two billion, seven hundred eighty-nine million, nine hundred fifty-two thousand, four hundred".