2955967920 has 240 divisors, whose sum is σ = 10223845632. Its totient is φ = 764951040.

The previous prime is 2955967919. The next prime is 2955967933. The reversal of 2955967920 is 297695592.

It is a happy number.

2955967920 is a `hidden beast` number, since 2 + 9 + 559 + 67 + 9 + 20 = 666.

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

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, 9504565 + ... + 9504875.

Almost surely, 2^2955967920 is an apocalyptic number.

2955967920 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 2955967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111922816).

2955967920 is an abundant number, since it is smaller than the sum of its proper divisors (7267877712).

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

2955967920 is a wasteful number, since it uses less digits than its factorization.

2955967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

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

The square root of 2955967920 is about 54368.8138550033. The cubic root of 2955967920 is about 1435.1586254818.

It can be divided in two parts, 29559 and 67920, that added together give a palindrome (97479).

The spelling of 2955967920 in words is "two billion, nine hundred fifty-five million, nine hundred sixty-seven thousand, nine hundred twenty".