2672542080 has 256 divisors, whose sum is σ = 10194206400. Its totient is φ = 657801216.

The previous prime is 2672542043. The next prime is 2672542087. The reversal of 2672542080 is 802452762.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672542087) 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, 218692 + ... + 230588.

Almost surely, 2^2672542080 is an apocalyptic number.

2672542080 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 2672542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097103200).

2672542080 is an abundant number, since it is smaller than the sum of its proper divisors (7521664320).

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

2672542080 is a wasteful number, since it uses less digits than its factorization.

2672542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11938 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2672542080 is about 51696.6350935919. The cubic root of 2672542080 is about 1387.7402476606.

The spelling of 2672542080 in words is "two billion, six hundred seventy-two million, five hundred forty-two thousand, eighty".