2490161464800 has 576 divisors, whose sum is σ = 9136515225600. Its totient is φ = 654457190400.

The previous prime is 2490161464783. The next prime is 2490161464811. The reversal of 2490161464800 is 84641610942.

2490161464800 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 161 + 4 + 6 + 480 + 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 95 ways as a sum of consecutive naturals, for example, 1359999885 + ... + 1360001715.

It is an arithmetic number, because the mean of its divisors is an integer number (15862005600).

Almost surely, 2^{2490161464800} is an apocalyptic number.

2490161464800 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 2490161464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568257612800).

2490161464800 is an abundant number, since it is smaller than the sum of its proper divisors (6646353760800).

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

2490161464800 is a wasteful number, since it uses less digits than its factorization.

2490161464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2717 counting only the distinct ones).

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

It can be divided in two parts, 2490161 and 464800, that added together give a square (2954961 = 1719²).

The spelling of 2490161464800 in words is "two trillion, four hundred ninety billion, one hundred sixty-one million, four hundred sixty-four thousand, eight hundred".