2870009600 has 108 divisors (see below), whose sum is σ = 7202205696. Its totient is φ = 1132093440.

The previous prime is 2870009591. The next prime is 2870009609. The reversal of 2870009600 is 69000782.

It is an interprime number because it is at equal distance from previous prime (2870009591) and next prime (2870009609).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870009609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464129 + ... + 470271.

Almost surely, 2^2870009600 is an apocalyptic number.

2870009600 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 2870009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601102848).

2870009600 is an abundant number, since it is smaller than the sum of its proper divisors (4332196096).

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

2870009600 is an equidigital number, since it uses as much as digits as its factorization.

2870009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6223 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2870009600 is about 53572.4705422477. The cubic root of 2870009600 is about 1421.1102868433.

The spelling of 2870009600 in words is "two billion, eight hundred seventy million, nine thousand, six hundred".