2901149056 has 64 divisors (see below), whose sum is σ = 6272204400. Its totient is φ = 1328670720.

The previous prime is 2901149047. The next prime is 2901149057. The reversal of 2901149056 is 6509411092.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2901149056³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2901149057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211330 + ... + 224638.

Almost surely, 2^2901149056 is an apocalyptic number.

2901149056 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 2901149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136102200).

2901149056 is an abundant number, since it is smaller than the sum of its proper divisors (3371055344).

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

2901149056 is a wasteful number, since it uses less digits than its factorization.

2901149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13467 (or 13455 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 2901149056 is about 53862.3157318732. The cubic root of 2901149056 is about 1426.2314674945.

The spelling of 2901149056 in words is "two billion, nine hundred one million, one hundred forty-nine thousand, fifty-six".