2212510432400 has 60 divisors (see below), whose sum is σ = 5318989408500. Its totient is φ = 884432586240.

The previous prime is 2212510432393. The next prime is 2212510432417. The reversal of 2212510432400 is 42340152122.

It can be written as a sum of positive squares in 6 ways, for example, as 103869554944 + 2108640877456 = 322288^2 + 1452116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2212510432400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1165835 + ... + 2405034.

It is an arithmetic number, because the mean of its divisors is an integer number (88649823475).

Almost surely, 2^{2212510432400} is an apocalyptic number.

2212510432400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212510432400 is an abundant number, since it is smaller than the sum of its proper divisors (3106478976100).

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

2212510432400 is a wasteful number, since it uses less digits than its factorization.

2212510432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572436 (or 3572425 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 2212510432400 its reverse (42340152122), we get a palindrome (2254850584522).

The spelling of 2212510432400 in words is "two trillion, two hundred twelve billion, five hundred ten million, four hundred thirty-two thousand, four hundred".