2901374784 has 504 divisors, whose sum is σ = 11031849920. Its totient is φ = 711659520.

The previous prime is 2901374771. The next prime is 2901374797. The reversal of 2901374784 is 4874731092.

It is an interprime number because it is at equal distance from previous prime (2901374771) and next prime (2901374797).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9269412 + ... + 9269724.

Almost surely, 2^2901374784 is an apocalyptic number.

2901374784 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 2901374784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515924960).

2901374784 is an abundant number, since it is smaller than the sum of its proper divisors (8130475136).

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

2901374784 is a wasteful number, since it uses less digits than its factorization.

2901374784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2901374784 is about 53864.4111078920. The cubic root of 2901374784 is about 1426.2684565198.

The spelling of 2901374784 in words is "two billion, nine hundred one million, three hundred seventy-four thousand, seven hundred eighty-four".