2542656 has 112 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 737280.

The previous prime is 2542649. The next prime is 2542669. The reversal of 2542656 is 6562452.

It is a d-powerful number, because it can be written as 2¹² + 5² + 4⁶ + 2²¹ + 6 + 5⁸ + 6⁶ .

It is a zygodrome in base 5.

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, 61996 + ... + 62036.

It is an arithmetic number, because the mean of its divisors is an integer number (68580).

2^2542656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

2542656 is an abundant number, since it is smaller than the sum of its proper divisors (5138304).

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

2542656 is a wasteful number, since it uses less digits than its factorization.

2542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2542656 is about 1594.5707886450. The cubic root of 2542656 is about 136.4884397622.

The spelling of 2542656 in words is "two million, five hundred forty-two thousand, six hundred fifty-six".