2490449304000 has 336 divisors, whose sum is σ = 9566074421280. Its totient is φ = 569245286400.

The previous prime is 2490449303963. The next prime is 2490449304019. The reversal of 2490449304000 is 4039440942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×2490449304000³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2490449304000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117136 + ... + 2234864.

Almost surely, 2^{2490449304000} is an apocalyptic number.

2490449304000 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 2490449304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783037210640).

2490449304000 is an abundant number, since it is smaller than the sum of its proper divisors (7075625117280).

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

2490449304000 is a wasteful number, since it uses less digits than its factorization.

2490449304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117773 (or 2117746 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 2490449304000 in words is "two trillion, four hundred ninety billion, four hundred forty-nine million, three hundred four thousand".