2957659920 has 240 divisors, whose sum is σ = 10353837312. Its totient is φ = 784650240.

The previous prime is 2957659843. The next prime is 2957659921. The reversal of 2957659920 is 299567592.

It is a happy number.

2957659920 is a `hidden beast` number, since 29 + 5 + 7 + 6 + 599 + 20 = 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2957659921) 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, 6862105 + ... + 6862535.

Almost surely, 2^2957659920 is an apocalyptic number.

2957659920 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 2957659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176918656).

2957659920 is an abundant number, since it is smaller than the sum of its proper divisors (7396177392).

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

2957659920 is a wasteful number, since it uses less digits than its factorization.

2957659920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 2957659920 is about 54384.3720199103. The cubic root of 2957659920 is about 1435.4324021588.

The spelling of 2957659920 in words is "two billion, nine hundred fifty-seven million, six hundred fifty-nine thousand, nine hundred twenty".