2901965416 has 96 divisors (see below), whose sum is σ = 6723829440. Its totient is φ = 1166710272.

The previous prime is 2901965413. The next prime is 2901965441. The reversal of 2901965416 is 6145691092.

It is a super-3 number, since 3×2901965416³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2901965413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2951661 + ... + 2952643.

It is an arithmetic number, because the mean of its divisors is an integer number (70039890).

Almost surely, 2^2901965416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2901965416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361914720).

2901965416 is an abundant number, since it is smaller than the sum of its proper divisors (3821864024).

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

2901965416 is a wasteful number, since it uses less digits than its factorization.

2901965416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 2901965416 is about 53869.8934099558. The cubic root of 2901965416 is about 1426.3652316348.

The spelling of 2901965416 in words is "two billion, nine hundred one million, nine hundred sixty-five thousand, four hundred sixteen".