2952508320 has 336 divisors, whose sum is σ = 11080790280. Its totient is φ = 740524032.

The previous prime is 2952508309. The next prime is 2952508333. The reversal of 2952508320 is 238052592.

It can be written as a sum of positive squares in 4 ways, for example, as 2351474064 + 601034256 = 48492^2 + 24516^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982136 + ... + 1983624.

Almost surely, 2^2952508320 is an apocalyptic number.

2952508320 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 2952508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540395140).

2952508320 is an abundant number, since it is smaller than the sum of its proper divisors (8128281960).

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

2952508320 is a wasteful number, since it uses less digits than its factorization.

2952508320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2952508320 is about 54336.9885069094. The cubic root of 2952508320 is about 1434.5985141883.

The spelling of 2952508320 in words is "two billion, nine hundred fifty-two million, five hundred eight thousand, three hundred twenty".