2920408920 has 768 divisors, whose sum is σ = 12227604480. Its totient is φ = 593510400.

The previous prime is 2920408913. The next prime is 2920408921. The reversal of 2920408920 is 298040292.

2920408920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920408921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41132485 + ... + 41132555.

It is an arithmetic number, because the mean of its divisors is an integer number (15921360).

Almost surely, 2^2920408920 is an apocalyptic number.

2920408920 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 2920408920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113802240).

2920408920 is an abundant number, since it is smaller than the sum of its proper divisors (9307195560).

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

2920408920 is a wasteful number, since it uses less digits than its factorization.

2920408920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2920408920 is about 54040.8079140199. The cubic root of 2920408920 is about 1429.3806175437.

The spelling of 2920408920 in words is "two billion, nine hundred twenty million, four hundred eight thousand, nine hundred twenty".