2678640 has 40 divisors (see below), whose sum is σ = 8304528. Its totient is φ = 714240.

The previous prime is 2678629. The next prime is 2678651. The reversal of 2678640 is 468762.

It is an interprime number because it is at equal distance from previous prime (2678629) and next prime (2678651).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2678640² = 14350224499200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5341 + ... + 5820.

2^2678640 is an apocalyptic number.

2678640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2678640 is an abundant number, since it is smaller than the sum of its proper divisors (5625888).

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

2678640 is a wasteful number, since it uses less digits than its factorization.

2678640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11177 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2678640 is about 1636.6551255533. The cubic root of 2678640 is about 138.8794911567.

The spelling of 2678640 in words is "two million, six hundred seventy-eight thousand, six hundred forty".