2993760491904 has 1152 divisors, whose sum is σ = 11393714404800. Its totient is φ = 746373906432.

The previous prime is 2993760491857. The next prime is 2993760491951. The reversal of 2993760491904 is 4091940673992.

2993760491904 is a `hidden beast` number, since 2 + 9 + 9 + 3 + 7 + 604 + 9 + 19 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2993760491857) and next prime (2993760491951).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1502136732 + ... + 1502138724.

Almost surely, 2^{2993760491904} is an apocalyptic number.

2993760491904 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 2993760491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696857202400).

2993760491904 is an abundant number, since it is smaller than the sum of its proper divisors (8399953912896).

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

2993760491904 is a wasteful number, since it uses less digits than its factorization.

2993760491904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 2993760491904 in words is "two trillion, nine hundred ninety-three billion, seven hundred sixty million, four hundred ninety-one thousand, nine hundred four".