2860012800 has 378 divisors, whose sum is σ = 10630926782. Its totient is φ = 761425920.

The previous prime is 2860012781. The next prime is 2860012807. The reversal of 2860012800 is 82100682.

It can be written as a sum of positive squares in 3 ways, for example, as 36578304 + 2823434496 = 6048^2 + 53136^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2860012807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665294 + ... + 4665906.

Almost surely, 2^2860012800 is an apocalyptic number.

2860012800 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 2860012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315463391).

2860012800 is an abundant number, since it is smaller than the sum of its proper divisors (7770913982).

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

2860012800 is an frugal number, since it uses more digits than its factorization.

2860012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2860012800 is about 53479.0875015646. The cubic root of 2860012800 is about 1419.4583664643.

The spelling of 2860012800 in words is "two billion, eight hundred sixty million, twelve thousand, eight hundred".