2791970400 has 288 divisors, whose sum is σ = 9370650240. Its totient is φ = 721797120.

The previous prime is 2791970353. The next prime is 2791970449. The reversal of 2791970400 is 40791972.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15597511 + ... + 15597689.

It is an arithmetic number, because the mean of its divisors is an integer number (32536980).

Almost surely, 2^2791970400 is an apocalyptic number.

2791970400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2791970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685325120).

2791970400 is an abundant number, since it is smaller than the sum of its proper divisors (6578679840).

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

2791970400 is a wasteful number, since it uses less digits than its factorization.

2791970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 2791970400 is about 52839.0991596185. The cubic root of 2791970400 is about 1408.1111471745. Note that the first 4 decimals are identical.

The spelling of 2791970400 in words is "two billion, seven hundred ninety-one million, nine hundred seventy thousand, four hundred".