2512972 has 48 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 950400.

The previous prime is 2512967. The next prime is 2512999. The reversal of 2512972 is 2792152.

2512972 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2512972.

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, 12529 + ... + 12727.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

2^2512972 is an apocalyptic number.

2512972 is a gapful number since it is divisible by the number (22) 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 2512972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

2512972 is an abundant number, since it is smaller than the sum of its proper divisors (3131828).

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

2512972 is a wasteful number, since it uses less digits than its factorization.

2512972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 2512972 is about 1585.2356291732. The cubic root of 2512972 is about 135.9552188204.

It can be divided in two parts, 251 and 2972, that added together give a palindrome (3223).

The spelling of 2512972 in words is "two million, five hundred twelve thousand, nine hundred seventy-two".