2670695040 has 256 divisors, whose sum is σ = 9310331520. Its totient is φ = 647184384.

The previous prime is 2670695021. The next prime is 2670695063. The reversal of 2670695040 is 405960762.

It is a super-2 number, since 2×2670695040² = 14265223993361203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2670695040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671522 + ... + 1673118.

Almost surely, 2^2670695040 is an apocalyptic number.

2670695040 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 2670695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655165760).

2670695040 is an abundant number, since it is smaller than the sum of its proper divisors (6639636480).

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

2670695040 is a wasteful number, since it uses less digits than its factorization.

2670695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2670695040 is about 51678.7677871677. The cubic root of 2670695040 is about 1387.4204768967.

The spelling of 2670695040 in words is "two billion, six hundred seventy million, six hundred ninety-five thousand, forty".