2564960 has 96 divisors (see below), whose sum is σ = 6858432. Its totient is φ = 901120.

The previous prime is 2564957. The next prime is 2564999. The reversal of 2564960 is 694652.

2564960 = T₉₃ + T₉₄ + ... + T₂₅₂.

2564960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 62540 + ... + 62580.

It is an arithmetic number, because the mean of its divisors is an integer number (71442).

2^2564960 is an apocalyptic number.

2564960 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 2564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429216).

2564960 is an abundant number, since it is smaller than the sum of its proper divisors (4293472).

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

2564960 is a wasteful number, since it uses less digits than its factorization.

2564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2564960 is about 1601.5492499452. The cubic root of 2564960 is about 136.8863674941.

The spelling of 2564960 in words is "two million, five hundred sixty-four thousand, nine hundred sixty".