2472000000 has 280 divisors, whose sum is σ = 8311768608. Its totient is φ = 652800000.

The previous prime is 2471999969. The next prime is 2472000023. The reversal of 2472000000 is 2742.

It is a super-2 number, since 2×2472000000² = 12221568000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23999949 + ... + 24000051.

Almost surely, 2^2472000000 is an apocalyptic number.

2472000000 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 2472000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155884304).

2472000000 is an abundant number, since it is smaller than the sum of its proper divisors (5839768608).

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

2472000000 is an frugal number, since it uses more digits than its factorization.

2472000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2472000000 is about 49719.2115786242. The cubic root of 2472000000 is about 1352.1228603497.

Adding to 2472000000 its reverse (2742), we get a palindrome (2472002742).

It can be divided in two parts, 24 and 72000000, that multiplied together give a cube (1728000000 = 1200³).

The spelling of 2472000000 in words is "two billion, four hundred seventy-two million", and thus it is an aban number.