2519972 has 72 divisors (see below), whose sum is σ = 5898816. Its totient is φ = 931392.

The previous prime is 2519969. The next prime is 2519977. The reversal of 2519972 is 2799152.

2519972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2519977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58583 + ... + 58625.

It is an arithmetic number, because the mean of its divisors is an integer number (81928).

2^2519972 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 2519972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949408).

2519972 is an abundant number, since it is smaller than the sum of its proper divisors (3378844).

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

2519972 is a wasteful number, since it uses less digits than its factorization.

2519972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its digits is 11340, while the sum is 35.

The square root of 2519972 is about 1587.4419674432. The cubic root of 2519972 is about 136.0813383104.

The spelling of 2519972 in words is "two million, five hundred nineteen thousand, nine hundred seventy-two".