2952529920 has 384 divisors, whose sum is σ = 10732176000. Its totient is φ = 769720320.

The previous prime is 2952529907. The next prime is 2952529949. The reversal of 2952529920 is 299252592.

2952529920 is a `hidden beast` number, since 295 + 252 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16312230 + ... + 16312410.

It is an arithmetic number, because the mean of its divisors is an integer number (27948375).

Almost surely, 2^2952529920 is an apocalyptic number.

2952529920 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 2952529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366088000).

2952529920 is an abundant number, since it is smaller than the sum of its proper divisors (7779646080).

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

2952529920 is a wasteful number, since it uses less digits than its factorization.

2952529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 2952529920 is about 54337.1872661808. The cubic root of 2952529920 is about 1434.6020125981.

The spelling of 2952529920 in words is "two billion, nine hundred fifty-two million, five hundred twenty-nine thousand, nine hundred twenty".