2642760 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 704448.

The previous prime is 2642713. The next prime is 2642771. The reversal of 2642760 is 672462.

2642760 = T₂₁₆ + T₂₁₇ + ... + T₂₉₅.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144 + ... + 2303.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

2^2642760 is an apocalyptic number.

2642760 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 2642760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

2642760 is an abundant number, since it is smaller than the sum of its proper divisors (6170040).

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

2642760 is a wasteful number, since it uses less digits than its factorization.

2642760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2642760 is about 1625.6567903466. The cubic root of 2642760 is about 138.2566113815.

The spelling of 2642760 in words is "two million, six hundred forty-two thousand, seven hundred sixty".