2132404577408 has 256 divisors, whose sum is σ = 5139402877440. Its totient is φ = 861587865600.

The previous prime is 2132404577399. The next prime is 2132404577441. The reversal of 2132404577408 is 8047754042312.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484965866 + ... + 484970262.

It is an arithmetic number, because the mean of its divisors is an integer number (20075792490).

Almost surely, 2^{2132404577408} is an apocalyptic number.

2132404577408 is a gapful number since it is divisible by the number (28) 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 2132404577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569701438720).

2132404577408 is an abundant number, since it is smaller than the sum of its proper divisors (3006998300032).

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

2132404577408 is a wasteful number, since it uses less digits than its factorization.

2132404577408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 47.

The spelling of 2132404577408 in words is "two trillion, one hundred thirty-two billion, four hundred four million, five hundred seventy-seven thousand, four hundred eight".