2472721000 has 64 divisors (see below), whose sum is σ = 5842586880. Its totient is φ = 979444800.

The previous prime is 2472720997. The next prime is 2472721001. The reversal of 2472721000 is 1272742.

It is a super-2 number, since 2×2472721000² = 12228698287682000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2472721001) 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, 90997 + ... + 115003.

It is an arithmetic number, because the mean of its divisors is an integer number (91290420).

Almost surely, 2^2472721000 is an apocalyptic number.

2472721000 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 2472721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921293440).

2472721000 is an abundant number, since it is smaller than the sum of its proper divisors (3369865880).

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

2472721000 is a wasteful number, since it uses less digits than its factorization.

2472721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24131 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 2472721000 is about 49726.4617683583. The cubic root of 2472721000 is about 1352.2543039605.

Adding to 2472721000 its reverse (1272742), we get a palindrome (2473993742).

The spelling of 2472721000 in words is "two billion, four hundred seventy-two million, seven hundred twenty-one thousand".