2912790400 has 96 divisors (see below), whose sum is σ = 7749113400. Its totient is φ = 1075476480.

The previous prime is 2912790379. The next prime is 2912790467. The reversal of 2912790400 is 40972192.

It is a happy number.

2912790400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6591 + ... + 76609.

Almost surely, 2^2912790400 is an apocalyptic number.

2912790400 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 2912790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874556700).

2912790400 is an abundant number, since it is smaller than the sum of its proper divisors (4836323000).

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

2912790400 is a wasteful number, since it uses less digits than its factorization.

2912790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70056 (or 70039 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 2912790400 is about 53970.2732992895. The cubic root of 2912790400 is about 1428.1365853657.

The spelling of 2912790400 in words is "two billion, nine hundred twelve million, seven hundred ninety thousand, four hundred".