2925249600 has 672 divisors, whose sum is σ = 12198274816. Its totient is φ = 597196800.

The previous prime is 2925249599. The next prime is 2925249611. The reversal of 2925249600 is 69425292.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16161510 + ... + 16161690.

Almost surely, 2^2925249600 is an apocalyptic number.

2925249600 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 2925249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099137408).

2925249600 is an abundant number, since it is smaller than the sum of its proper divisors (9273025216).

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

2925249600 is a wasteful number, since it uses less digits than its factorization.

2925249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2925249600 is about 54085.5766355504. The cubic root of 2925249600 is about 1430.1699310667.

The spelling of 2925249600 in words is "two billion, nine hundred twenty-five million, two hundred forty-nine thousand, six hundred".