2952852672 has 448 divisors, whose sum is σ = 10674339840. Its totient is φ = 696729600.

The previous prime is 2952852667. The next prime is 2952852787. The reversal of 2952852672 is 2762582592.

It is a tau number, because it is divible by the number of its divisors (448).

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

Its product of digits (1209600) is a multiple of the sum of its prime divisors (450).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7790979 + ... + 7791357.

Almost surely, 2^2952852672 is an apocalyptic number.

2952852672 is a gapful number since it is divisible by the number (22) 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 2952852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337169920).

2952852672 is an abundant number, since it is smaller than the sum of its proper divisors (7721487168).

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

2952852672 is a wasteful number, since it uses less digits than its factorization.

2952852672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 2952852672 is about 54340.1570847932. The cubic root of 2952852672 is about 1434.6542845830.

The spelling of 2952852672 in words is "two billion, nine hundred fifty-two million, eight hundred fifty-two thousand, six hundred seventy-two".