2925713952 has 288 divisors, whose sum is σ = 10273132800. Its totient is φ = 806754816.

The previous prime is 2925713941. The next prime is 2925713953. The reversal of 2925713952 is 2593175292.

2925713952 is a `hidden beast` number, since 2 + 9 + 257 + 1 + 395 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2925713898 and 2925713907.

It is not an unprimeable number, because it can be changed into a prime (2925713953) 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, 1226553 + ... + 1228935.

It is an arithmetic number, because the mean of its divisors is an integer number (35670600).

Almost surely, 2^2925713952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2925713952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136566400).

2925713952 is an abundant number, since it is smaller than the sum of its proper divisors (7347418848).

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

2925713952 is a wasteful number, since it uses less digits than its factorization.

2925713952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2424 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 2925713952 is about 54089.8692178119. The cubic root of 2925713952 is about 1430.2456017754.

The spelling of 2925713952 in words is "two billion, nine hundred twenty-five million, seven hundred thirteen thousand, nine hundred fifty-two".