2807952000 has 512 divisors, whose sum is σ = 10891445760. Its totient is φ = 626688000.

The previous prime is 2807951981. The next prime is 2807952041. The reversal of 2807952000 is 2597082.

2807952000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20495932 + ... + 20496068.

It is an arithmetic number, because the mean of its divisors is an integer number (21272355).

Almost surely, 2^2807952000 is an apocalyptic number.

2807952000 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 2807952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445722880).

2807952000 is an abundant number, since it is smaller than the sum of its proper divisors (8083493760).

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

2807952000 is a wasteful number, since it uses less digits than its factorization.

2807952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2807952000 is about 52990.1122852179. The cubic root of 2807952000 is about 1410.7927738356.

The spelling of 2807952000 in words is "two billion, eight hundred seven million, nine hundred fifty-two thousand".