2952947760 has 240 divisors, whose sum is σ = 10697502816. Its totient is φ = 671870976.

The previous prime is 2952947717. The next prime is 2952947761. The reversal of 2952947760 is 677492592.

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

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2952947761) 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, 3445252 + ... + 3446108.

Almost surely, 2^2952947760 is an apocalyptic number.

2952947760 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 2952947760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348751408).

2952947760 is an abundant number, since it is smaller than the sum of its proper divisors (7744555056).

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

2952947760 is a wasteful number, since it uses less digits than its factorization.

2952947760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 2952947760 is about 54341.0320108111. The cubic root of 2952947760 is about 1434.6696840354.

The spelling of 2952947760 in words is "two billion, nine hundred fifty-two million, nine hundred forty-seven thousand, seven hundred sixty".