2923961664 has 336 divisors, whose sum is σ = 9152631936. Its totient is φ = 817090560.

The previous prime is 2923961653. The next prime is 2923961669. The reversal of 2923961664 is 4661693292.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2923961669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55169062 + ... + 55169114.

It is an arithmetic number, because the mean of its divisors is an integer number (27239976).

Almost surely, 2^2923961664 is an apocalyptic number.

2923961664 is a gapful number since it is divisible by the number (24) 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 2923961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576315968).

2923961664 is an abundant number, since it is smaller than the sum of its proper divisors (6228670272).

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

2923961664 is a wasteful number, since it uses less digits than its factorization.

2923961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 125 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 2923961664 is about 54073.6688601763. The cubic root of 2923961664 is about 1429.9600073579.

The spelling of 2923961664 in words is "two billion, nine hundred twenty-three million, nine hundred sixty-one thousand, six hundred sixty-four".