2870691840 has 240 divisors, whose sum is σ = 10292422140. Its totient is φ = 765296640.

The previous prime is 2870691839. The next prime is 2870691851. The reversal of 2870691840 is 481960782.

It can be written as a sum of positive squares in 2 ways, for example, as 2717328384 + 153363456 = 52128^2 + 12384^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 19 ways as a sum of consecutive naturals, for example, 827710 + ... + 831170.

Almost surely, 2^2870691840 is an apocalyptic number.

2870691840 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 2870691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146211070).

2870691840 is an abundant number, since it is smaller than the sum of its proper divisors (7421730300).

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

2870691840 is an equidigital number, since it uses as much as digits as its factorization.

2870691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2870691840 is about 53578.8376133712. The cubic root of 2870691840 is about 1421.2228836174. Note that the first 3 decimals are identical.

The spelling of 2870691840 in words is "two billion, eight hundred seventy million, six hundred ninety-one thousand, eight hundred forty".