2470272000 has 352 divisors, whose sum is σ = 9401134080. Its totient is φ = 564019200.

The previous prime is 2470271981. The next prime is 2470272001. The reversal of 2470272000 is 2720742.

It is a super-2 number, since 2×2470272000² = 12204487507968000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2470272001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687541 + ... + 2688459.

Almost surely, 2^2470272000 is an apocalyptic number.

2470272000 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 2470272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700567040).

2470272000 is an abundant number, since it is smaller than the sum of its proper divisors (6930862080).

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

2470272000 is an equidigital number, since it uses as much as digits as its factorization.

2470272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 2470272000 is about 49701.8309521893. The cubic root of 2470272000 is about 1351.8077291558.

Adding to 2470272000 its reverse (2720742), we get a palindrome (2472992742).

The spelling of 2470272000 in words is "two billion, four hundred seventy million, two hundred seventy-two thousand".