2895984000 has 1152 divisors, whose sum is σ = 13627673280. Its totient is φ = 575078400.

The previous prime is 2895983989. The next prime is 2895984011. The reversal of 2895984000 is 4895982.

It is an interprime number because it is at equal distance from previous prime (2895983989) and next prime (2895984011).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 170351992 + ... + 170352008.

Almost surely, 2^2895984000 is an apocalyptic number.

2895984000 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 2895984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813836640).

2895984000 is an abundant number, since it is smaller than the sum of its proper divisors (10731689280).

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

2895984000 is a wasteful number, since it uses less digits than its factorization.

2895984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2895984000 is about 53814.3475292603. The cubic root of 2895984000 is about 1425.3845684130.

The spelling of 2895984000 in words is "two billion, eight hundred ninety-five million, nine hundred eighty-four thousand".