2627472000 has 512 divisors, whose sum is σ = 9521740800. Its totient is φ = 638668800.

The previous prime is 2627471983. The next prime is 2627472017. The reversal of 2627472000 is 2747262.

It is an interprime number because it is at equal distance from previous prime (2627471983) and next prime (2627472017).

It is a super-2 number, since 2×2627472000² = 13807218221568000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39215967 + ... + 39216033.

It is an arithmetic number, because the mean of its divisors is an integer number (18597150).

Almost surely, 2^2627472000 is an apocalyptic number.

2627472000 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 2627472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760870400).

2627472000 is an abundant number, since it is smaller than the sum of its proper divisors (6894268800).

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

2627472000 is a wasteful number, since it uses less digits than its factorization.

2627472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 2627472000 is about 51258.8724027363. The cubic root of 2627472000 is about 1379.8949720530.

The spelling of 2627472000 in words is "two billion, six hundred twenty-seven million, four hundred seventy-two thousand".