2925483264 has 288 divisors, whose sum is σ = 9551203200. Its totient is φ = 875888640.

The previous prime is 2925483263. The next prime is 2925483283. The reversal of 2925483264 is 4623845292.

2925483264 = T₇₂₇₂ + T₇₂₇₃ + ... + T₇₃₈₀.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925483263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8287312 + ... + 8287664.

It is an arithmetic number, because the mean of its divisors is an integer number (33163900).

Almost surely, 2^2925483264 is an apocalyptic number.

2925483264 is a gapful number since it is divisible by the number (24) 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 2925483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775601600).

2925483264 is an abundant number, since it is smaller than the sum of its proper divisors (6625719936).

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

2925483264 is a wasteful number, since it uses less digits than its factorization.

2925483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 478 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2925483264 is about 54087.7367246957. The cubic root of 2925483264 is about 1430.2080099061.

The spelling of 2925483264 in words is "two billion, nine hundred twenty-five million, four hundred eighty-three thousand, two hundred sixty-four".