2732400972 has 96 divisors (see below), whose sum is σ = 8115430400. Its totient is φ = 778813056.

The previous prime is 2732400971. The next prime is 2732400997. The reversal of 2732400972 is 2790042372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2732400971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327768 + ... + 336000.

Almost surely, 2^2732400972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2732400972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057715200).

2732400972 is an abundant number, since it is smaller than the sum of its proper divisors (5383029428).

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

2732400972 is a wasteful number, since it uses less digits than its factorization.

2732400972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2732400972 is about 52272.3729325540. The cubic root of 2732400972 is about 1398.0245901844.

It can be divided in two parts, 2732400 and 972, that added together give a palindrome (2733372).

The spelling of 2732400972 in words is "two billion, seven hundred thirty-two million, four hundred thousand, nine hundred seventy-two".