2490588404640 has 1152 divisors, whose sum is σ = 10225538039808. Its totient is φ = 540104785920.

The previous prime is 2490588404599. The next prime is 2490588404651. The reversal of 2490588404640 is 464048850942.

It is a happy number.

2490588404640 is a `hidden beast` number, since 2 + 4 + 90 + 58 + 8 + 40 + 464 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3849440797 + ... + 3849441443.

It is an arithmetic number, because the mean of its divisors is an integer number (8876335104).

Almost surely, 2^{2490588404640} is an apocalyptic number.

2490588404640 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 2490588404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112769019904).

2490588404640 is an abundant number, since it is smaller than the sum of its proper divisors (7734949635168).

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

2490588404640 is a wasteful number, since it uses less digits than its factorization.

2490588404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2490588404640 in words is "two trillion, four hundred ninety billion, five hundred eighty-eight million, four hundred four thousand, six hundred forty".