2901376608 has 192 divisors, whose sum is σ = 8869674240. Its totient is φ = 822638592.

The previous prime is 2901376591. The next prime is 2901376609. The reversal of 2901376608 is 8066731092.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2901376608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2901376609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875691 + ... + 878997.

It is an arithmetic number, because the mean of its divisors is an integer number (46196220).

Almost surely, 2^2901376608 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 2901376608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434837120).

2901376608 is an abundant number, since it is smaller than the sum of its proper divisors (5968297632).

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

2901376608 is a wasteful number, since it uses less digits than its factorization.

2901376608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2901376608 is about 53864.4280392914. The cubic root of 2901376608 is about 1426.2687554026.

The spelling of 2901376608 in words is "two billion, nine hundred one million, three hundred seventy-six thousand, six hundred eight".