2912630400 has 480 divisors, whose sum is σ = 11397713580. Its totient is φ = 729907200.

The previous prime is 2912630387. The next prime is 2912630411. The reversal of 2912630400 is 40362192.

2912630400 is a `hidden beast` number, since 29 + 1 + 2 + 630 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1922647104 + 989983296 = 43848^2 + 31464^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406070 + ... + 4406730.

Almost surely, 2^2912630400 is an apocalyptic number.

2912630400 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 2912630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698856790).

2912630400 is an abundant number, since it is smaller than the sum of its proper divisors (8485083180).

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

2912630400 is a wasteful number, since it uses less digits than its factorization.

2912630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2912630400 is about 53968.7909814552. The cubic root of 2912630400 is about 1428.1104356368.

Adding to 2912630400 its reverse (40362192), we get a palindrome (2952992592).

The spelling of 2912630400 in words is "two billion, nine hundred twelve million, six hundred thirty thousand, four hundred".