2546640 has 120 divisors (see below), whose sum is σ = 8936928. Its totient is φ = 673920.

The previous prime is 2546611. The next prime is 2546657. The reversal of 2546640 is 466452.

It is a happy number.

2546640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19375 + ... + 19505.

2^2546640 is an apocalyptic number.

2546640 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 2546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468464).

2546640 is an abundant number, since it is smaller than the sum of its proper divisors (6390288).

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

2546640 is a wasteful number, since it uses less digits than its factorization.

2546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2546640 is about 1595.8195386697. The cubic root of 2546640 is about 136.5596889056.

It can be divided in two parts, 25 and 46640, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 2546640 in words is "two million, five hundred forty-six thousand, six hundred forty".