2576000 has 128 divisors (see below), whose sum is σ = 7637760. Its totient is φ = 844800.

The previous prime is 2575967. The next prime is 2576003. The reversal of 2576000 is 6752.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2576003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111989 + ... + 112011.

It is an arithmetic number, because the mean of its divisors is an integer number (59670).

2^2576000 is an apocalyptic number.

2576000 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 2576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).

2576000 is an abundant number, since it is smaller than the sum of its proper divisors (5061760).

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

2576000 is an equidigital number, since it uses as much as digits as its factorization.

2576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2576000 is about 1604.9922118191. The cubic root of 2576000 is about 137.0824800367.

The spelling of 2576000 in words is "two million, five hundred seventy-six thousand".