2923537680 has 240 divisors, whose sum is σ = 11283277824. Its totient is φ = 664519680.

The previous prime is 2923537649. The next prime is 2923537699. The reversal of 2923537680 is 867353292.

2923537680 is a `hidden beast` number, since 292 + 353 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961122 + ... + 964158.

Almost surely, 2^2923537680 is an apocalyptic number.

2923537680 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 2923537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641638912).

2923537680 is an abundant number, since it is smaller than the sum of its proper divisors (8359740144).

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

2923537680 is a wasteful number, since it uses less digits than its factorization.

2923537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2923537680 is about 54069.7482886688. The cubic root of 2923537680 is about 1429.8908877250.

The spelling of 2923537680 in words is "two billion, nine hundred twenty-three million, five hundred thirty-seven thousand, six hundred eighty".