2752051600 has 135 divisors (see below), whose sum is σ = 6881931459. Its totient is φ = 1057593600.

The previous prime is 2752051573. The next prime is 2752051609. The reversal of 2752051600 is 61502572.

The square root of 2752051600 is 52460.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1267644816 + 1484406784 = 35604^2 + 38528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2752051609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45115570 + ... + 45115630.

Almost surely, 2^2752051600 is an apocalyptic number.

2752051600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2752051600 is the 52460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752051600

2752051600 is an abundant number, since it is smaller than the sum of its proper divisors (4129879859).

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

2752051600 is an equidigital number, since it uses as much as digits as its factorization.

2752051600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The cubic root of 2752051600 is about 1401.3679825951.

The spelling of 2752051600 in words is "two billion, seven hundred fifty-two million, fifty-one thousand, six hundred".