2670842160 has 480 divisors, whose sum is σ = 11200949760. Its totient is φ = 577787904.

The previous prime is 2670842147. The next prime is 2670842173. The reversal of 2670842160 is 612480762.

It is an interprime number because it is at equal distance from previous prime (2670842147) and next prime (2670842173).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585004 + ... + 2586036.

It is an arithmetic number, because the mean of its divisors is an integer number (23335312).

Almost surely, 2^2670842160 is an apocalyptic number.

2670842160 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 2670842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600474880).

2670842160 is an abundant number, since it is smaller than the sum of its proper divisors (8530107600).

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

2670842160 is a wasteful number, since it uses less digits than its factorization.

2670842160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2670842160 is about 51680.1911761170. The cubic root of 2670842160 is about 1387.4459526062.

The spelling of 2670842160 in words is "two billion, six hundred seventy million, eight hundred forty-two thousand, one hundred sixty".