2870968320 has 512 divisors, whose sum is σ = 11324448000. Its totient is φ = 684195840.

The previous prime is 2870968273. The next prime is 2870968357. The reversal of 2870968320 is 238690782.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48660451 + ... + 48660509.

Almost surely, 2^2870968320 is an apocalyptic number.

2870968320 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 2870968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662224000).

2870968320 is an abundant number, since it is smaller than the sum of its proper divisors (8453479680).

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

2870968320 is an equidigital number, since it uses as much as digits as its factorization.

2870968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2870968320 is about 53581.4176744140. The cubic root of 2870968320 is about 1421.2685087501.

The spelling of 2870968320 in words is "two billion, eight hundred seventy million, nine hundred sixty-eight thousand, three hundred twenty".