2672527400 has 96 divisors (see below), whose sum is σ = 6418711200. Its totient is φ = 1034208000.

The previous prime is 2672527399. The next prime is 2672527409. The reversal of 2672527400 is 47252762.

It is not an unprimeable number, because it can be changed into a prime (2672527409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935975 + ... + 938825.

It is an arithmetic number, because the mean of its divisors is an integer number (66861575).

Almost surely, 2^2672527400 is an apocalyptic number.

2672527400 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 2672527400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209355600).

2672527400 is an abundant number, since it is smaller than the sum of its proper divisors (3746183800).

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

2672527400 is a wasteful number, since it uses less digits than its factorization.

2672527400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 2672527400 is about 51696.4931112353. The cubic root of 2672527400 is about 1387.7377067509.

The spelling of 2672527400 in words is "two billion, six hundred seventy-two million, five hundred twenty-seven thousand, four hundred".