2901013920 has 768 divisors, whose sum is σ = 12517908480. Its totient is φ = 613122048.

The previous prime is 2901013903. The next prime is 2901013937. The reversal of 2901013920 is 293101092.

It is an interprime number because it is at equal distance from previous prime (2901013903) and next prime (2901013937).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 29907312 + ... + 29907408.

It is an arithmetic number, because the mean of its divisors is an integer number (16299360).

Almost surely, 2^2901013920 is an apocalyptic number.

2901013920 is a gapful number since it is divisible by the number (20) 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 2901013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258954240).

2901013920 is an abundant number, since it is smaller than the sum of its proper divisors (9616894560).

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

2901013920 is a wasteful number, since it uses less digits than its factorization.

2901013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2901013920 is about 53861.0612595036. The cubic root of 2901013920 is about 1426.2093224519.

The spelling of 2901013920 in words is "two billion, nine hundred one million, thirteen thousand, nine hundred twenty".