2870472000 has 448 divisors, whose sum is σ = 10544421888. Its totient is φ = 682240000.

The previous prime is 2870471983. The next prime is 2870472019. The reversal of 2870472000 is 2740782.

2870472000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21911935 + ... + 21912065.

It is an arithmetic number, because the mean of its divisors is an integer number (23536656).

Almost surely, 2^2870472000 is an apocalyptic number.

2870472000 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 2870472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272210944).

2870472000 is an abundant number, since it is smaller than the sum of its proper divisors (7673949888).

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

2870472000 is a wasteful number, since it uses less digits than its factorization.

2870472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2870472000 is about 53576.7860178268. The cubic root of 2870472000 is about 1421.1866032093.

The spelling of 2870472000 in words is "two billion, eight hundred seventy million, four hundred seventy-two thousand".