2920948128 has 480 divisors, whose sum is σ = 10660003200. Its totient is φ = 765904896.

The previous prime is 2920948111. The next prime is 2920948153. The reversal of 2920948128 is 8218490292.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12755118 + ... + 12755346.

It is an arithmetic number, because the mean of its divisors is an integer number (22208340).

Almost surely, 2^2920948128 is an apocalyptic number.

2920948128 is a gapful number since it is divisible by the number (28) 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 2920948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330001600).

2920948128 is an abundant number, since it is smaller than the sum of its proper divisors (7739055072).

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

2920948128 is a wasteful number, since it uses less digits than its factorization.

2920948128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2920948128 is about 54045.7965803077. The cubic root of 2920948128 is about 1429.4685830827.

The spelling of 2920948128 in words is "two billion, nine hundred twenty million, nine hundred forty-eight thousand, one hundred twenty-eight".