2546928 has 60 divisors (see below), whose sum is σ = 7447440. Its totient is φ = 811008.

The previous prime is 2546911. The next prime is 2546941. The reversal of 2546928 is 8296452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁴ + 5⁸ + 4² + 6 + 9⁵ + 2²¹ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 2546892 and 2546901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2928 + ... + 3696.

It is an arithmetic number, because the mean of its divisors is an integer number (124124).

2^2546928 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 2546928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723720).

2546928 is an abundant number, since it is smaller than the sum of its proper divisors (4900512).

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

2546928 is a wasteful number, since it uses less digits than its factorization.

2546928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2546928 is about 1595.9097718856. The cubic root of 2546928 is about 136.5648365653.

The spelling of 2546928 in words is "two million, five hundred forty-six thousand, nine hundred twenty-eight".