2988652401504 has 1728 divisors, whose sum is σ = 11810979048960. Its totient is φ = 700026624000.

The previous prime is 2988652401479. The next prime is 2988652401557. The reversal of 2988652401504 is 4051042568892.

2988652401504 is a `hidden beast` number, since 2 + 9 + 8 + 86 + 52 + 4 + 0 + 1 + 504 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48994301634 + ... + 48994301694.

It is an arithmetic number, because the mean of its divisors is an integer number (6835057320).

Almost surely, 2^{2988652401504} is an apocalyptic number.

2988652401504 is a gapful number since it is divisible by the number (24) 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 2988652401504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905489524480).

2988652401504 is an abundant number, since it is smaller than the sum of its proper divisors (8822326647456).

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

2988652401504 is a wasteful number, since it uses less digits than its factorization.

2988652401504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2988652401504 in words is "two trillion, nine hundred eighty-eight billion, six hundred fifty-two million, four hundred one thousand, five hundred four".