2408137812990 has 512 divisors, whose sum is σ = 8429835939840. Its totient is φ = 474701119488.

The previous prime is 2408137812959. The next prime is 2408137812991. The reversal of 2408137812990 is 992187318042.

2408137812990 is a `hidden beast` number, since 2 + 408 + 137 + 8 + 12 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2408137812991) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57202489 + ... + 57244571.

It is an arithmetic number, because the mean of its divisors is an integer number (16464523320).

Almost surely, 2^{2408137812990} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408137812990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214917969920).

2408137812990 is an abundant number, since it is smaller than the sum of its proper divisors (6021698126850).

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

2408137812990 is a wasteful number, since it uses less digits than its factorization.

2408137812990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42273 (or 42267 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2408137812990 in words is "two trillion, four hundred eight billion, one hundred thirty-seven million, eight hundred twelve thousand, nine hundred ninety".