2706682440 has 256 divisors, whose sum is σ = 10316574720. Its totient is φ = 551715840.

The previous prime is 2706682439. The next prime is 2706682453. The reversal of 2706682440 is 442866072.

It is a super-2 number, since 2×2706682440² = 14652259662008707200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486957 + ... + 492483.

It is an arithmetic number, because the mean of its divisors is an integer number (40299120).

Almost surely, 2^2706682440 is an apocalyptic number.

2706682440 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 2706682440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158287360).

2706682440 is an abundant number, since it is smaller than the sum of its proper divisors (7609892280).

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

2706682440 is a wasteful number, since it uses less digits than its factorization.

2706682440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2706682440 is about 52025.7862987192. The cubic root of 2706682440 is about 1393.6244865691.

The spelling of 2706682440 in words is "two billion, seven hundred six million, six hundred eighty-two thousand, four hundred forty".