2490604047360 has 1056 divisors, whose sum is σ = 10171618329600. Its totient is φ = 555525734400.

The previous prime is 2490604047343. The next prime is 2490604047409. The reversal of 2490604047360 is 637404060942.

It is a happy number.

2490604047360 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 604 + 0 + 4 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3947074245 + ... + 3947074875.

Almost surely, 2^{2490604047360} is an apocalyptic number.

2490604047360 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 2490604047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085809164800).

2490604047360 is an abundant number, since it is smaller than the sum of its proper divisors (7681014282240).

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

2490604047360 is a wasteful number, since it uses less digits than its factorization.

2490604047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2490604047360 in words is "two trillion, four hundred ninety billion, six hundred four million, forty-seven thousand, three hundred sixty".