2882956800 has 240 divisors, whose sum is σ = 9597622320. Its totient is φ = 762839040.

The previous prime is 2882956793. The next prime is 2882956831. The reversal of 2882956800 is 86592882.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2882956800² = 16622879821332480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2882956800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7411006 + ... + 7411394.

It is an arithmetic number, because the mean of its divisors is an integer number (39990093).

Almost surely, 2^2882956800 is an apocalyptic number.

2882956800 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 2882956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798811160).

2882956800 is an abundant number, since it is smaller than the sum of its proper divisors (6714665520).

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

2882956800 is a wasteful number, since it uses less digits than its factorization.

2882956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 2882956800 is about 53693.1727503600. The cubic root of 2882956800 is about 1423.2440544356.

The spelling of 2882956800 in words is "two billion, eight hundred eighty-two million, nine hundred fifty-six thousand, eight hundred".