2490186104640 has 672 divisors, whose sum is σ = 9729625651200. Its totient is φ = 579506503680.

The previous prime is 2490186104557. The next prime is 2490186104657. The reversal of 2490186104640 is 464016810942.

2490186104640 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 186 + 1 + 0 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 370615201 + ... + 370621919.

It is an arithmetic number, because the mean of its divisors is an integer number (14478609600).

Almost surely, 2^{2490186104640} is an apocalyptic number.

2490186104640 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 2490186104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864812825600).

2490186104640 is an abundant number, since it is smaller than the sum of its proper divisors (7239439546560).

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

2490186104640 is a wasteful number, since it uses less digits than its factorization.

2490186104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7295 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2490186104640 in words is "two trillion, four hundred ninety billion, one hundred eighty-six million, one hundred four thousand, six hundred forty".