2490417634320 has 4320 divisors, whose sum is σ = 12416883268608. Its totient is φ = 459841536000.

The previous prime is 2490417634283. The next prime is 2490417634423. The reversal of 2490417634320 is 234367140942.

2490417634320 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 4 + 1 + 7 + 634 + 3 + 2 + 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 polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 60741893500 + ... + 60741893540.

Almost surely, 2^{2490417634320} is an apocalyptic number.

2490417634320 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 2490417634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208441634304).

2490417634320 is an abundant number, since it is smaller than the sum of its proper divisors (9926465634288).

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

2490417634320 is a wasteful number, since it uses less digits than its factorization.

2490417634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

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

The spelling of 2490417634320 in words is "two trillion, four hundred ninety billion, four hundred seventeen million, six hundred thirty-four thousand, three hundred twenty".