2901540096 has 432 divisors, whose sum is σ = 10765339200. Its totient is φ = 764080128.

The previous prime is 2901540073. The next prime is 2901540097. The reversal of 2901540096 is 6900451092.

2901540096 is a `hidden beast` number, since 29 + 0 + 1 + 540 + 0 + 96 = 666.

2901540096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2901540096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2901540097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402615 + ... + 4403273.

Almost surely, 2^2901540096 is an apocalyptic number.

2901540096 is a gapful number since it is divisible by the number (26) 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 2901540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382669600).

2901540096 is an abundant number, since it is smaller than the sum of its proper divisors (7863799104).

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

2901540096 is a wasteful number, since it uses less digits than its factorization.

2901540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2901540096 is about 53865.9456057350. The cubic root of 2901540096 is about 1426.2955442317.

The spelling of 2901540096 in words is "two billion, nine hundred one million, five hundred forty thousand, ninety-six".