2490179328000 has 3072 divisors, whose sum is σ = 11745293414400. Its totient is φ = 506422886400.

The previous prime is 2490179327969. The next prime is 2490179328017. The reversal of 2490179328000 is 8239710942.

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 23272703947 + ... + 23272704053.

It is an arithmetic number, because the mean of its divisors is an integer number (3823337700).

Almost surely, 2^{2490179328000} is an apocalyptic number.

2490179328000 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 2490179328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872646707200).

2490179328000 is an abundant number, since it is smaller than the sum of its proper divisors (9255114086400).

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

2490179328000 is a wasteful number, since it uses less digits than its factorization.

2490179328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2490179328000 in words is "two trillion, four hundred ninety billion, one hundred seventy-nine million, three hundred twenty-eight thousand".