2450880996480 has 1920 divisors, whose sum is σ = 10578326718960. Its totient is φ = 538804224000.

The previous prime is 2450880996433. The next prime is 2450880996491. The reversal of 2450880996480 is 846990880542.

2450880996480 is a `hidden beast` number, since 2 + 4 + 508 + 80 + 9 + 9 + 6 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 705882268224 + 1744998728256 = 840168^2 + 1320984^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10518802444 + ... + 10518802676.

Almost surely, 2^{2450880996480} is an apocalyptic number.

2450880996480 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 2450880996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289163359480).

2450880996480 is an abundant number, since it is smaller than the sum of its proper divisors (8127445722480).

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

2450880996480 is a wasteful number, since it uses less digits than its factorization.

2450880996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 2450880996480 in words is "two trillion, four hundred fifty billion, eight hundred eighty million, nine hundred ninety-six thousand, four hundred eighty".