2672532400 has 90 divisors (see below), whose sum is σ = 6770110460. Its totient is φ = 1011041280.

The previous prime is 2672532383. The next prime is 2672532461. The reversal of 2672532400 is 42352762.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4506504 + ... + 4507096.

Almost surely, 2^2672532400 is an apocalyptic number.

2672532400 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 2672532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385055230).

2672532400 is an abundant number, since it is smaller than the sum of its proper divisors (4097578060).

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

2672532400 is an equidigital number, since it uses as much as digits as its factorization.

2672532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 2672532400 is about 51696.5414703924. The cubic root of 2672532400 is about 1387.7385721844.

The spelling of 2672532400 in words is "two billion, six hundred seventy-two million, five hundred thirty-two thousand, four hundred".