2870478000 has 800 divisors, whose sum is σ = 11796744960. Its totient is φ = 667699200.

The previous prime is 2870477989. The next prime is 2870478007. The reversal of 2870478000 is 8740782.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2870478007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61073977 + ... + 61074023.

Almost surely, 2^2870478000 is an apocalyptic number.

2870478000 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 2870478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898372480).

2870478000 is an abundant number, since it is smaller than the sum of its proper divisors (8926266960).

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

2870478000 is a wasteful number, since it uses less digits than its factorization.

2870478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2870478000 is about 53576.8420121978. The cubic root of 2870478000 is about 1421.1875934197.

The spelling of 2870478000 in words is "two billion, eight hundred seventy million, four hundred seventy-eight thousand".