2516000 has 96 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 921600.

The previous prime is 2515967. The next prime is 2516021. The reversal of 2516000 is 6152.

It can be written as a sum of positive squares in 8 ways, for example, as 698896 + 1817104 = 836^2 + 1348^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67982 + ... + 68018.

2^2516000 is an apocalyptic number.

2516000 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 2516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

2516000 is an abundant number, since it is smaller than the sum of its proper divisors (4206352).

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

2516000 is a wasteful number, since it uses less digits than its factorization.

2516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2516000 is about 1586.1904047119. The cubic root of 2516000 is about 136.0098032149.

The spelling of 2516000 in words is "two million, five hundred sixteen thousand".