2864970000 has 400 divisors, whose sum is σ = 10482394560. Its totient is φ = 758160000.

The previous prime is 2864969993. The next prime is 2864970011. The reversal of 2864970000 is 794682.

2864970000 is a `hidden beast` number, since 2 + 8 + 649 + 7 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21869935 + ... + 21870065.

Almost surely, 2^2864970000 is an apocalyptic number.

2864970000 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 2864970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241197280).

2864970000 is an abundant number, since it is smaller than the sum of its proper divisors (7617424560).

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

2864970000 is an frugal number, since it uses more digits than its factorization.

2864970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2864970000 is about 53525.4145243173. The cubic root of 2864970000 is about 1420.2779988678.

The spelling of 2864970000 in words is "two billion, eight hundred sixty-four million, nine hundred seventy thousand".