2791008900 has 135 divisors (see below), whose sum is σ = 9062787349. Its totient is φ = 743001120.

The previous prime is 2791008893. The next prime is 2791008917. The reversal of 2791008900 is 98001972.

It is a happy number.

The square root of 2791008900 is 52830.

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., 1004763204 + 1786245696 = 31698^2 + 42264^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4754407 + ... + 4754993.

Almost surely, 2^2791008900 is an apocalyptic number.

2791008900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2791008900 is the 52830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2791008900

2791008900 is an abundant number, since it is smaller than the sum of its proper divisors (6271778449).

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

2791008900 is an equidigital number, since it uses as much as digits as its factorization.

2791008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The cubic root of 2791008900 is about 1407.9494866359.

Multiplying 2791008900 by its sum of digits (36), we get a square (100476320400 = 316980²).

2791008900 divided by its sum of digits (36) gives a square (77528025 = 8805²).

The spelling of 2791008900 in words is "two billion, seven hundred ninety-one million, eight thousand, nine hundred".