2672349840 has 80 divisors (see below), whose sum is σ = 9204768000. Its totient is φ = 712626048.

The previous prime is 2672349821. The next prime is 2672349847. The reversal of 2672349840 is 489432762.

2672349840 is a `hidden beast` number, since 267 + 2 + 349 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2672349847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616440 + ... + 620759.

It is an arithmetic number, because the mean of its divisors is an integer number (115059600).

Almost surely, 2^2672349840 is an apocalyptic number.

2672349840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672349840 is an abundant number, since it is smaller than the sum of its proper divisors (6532418160).

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

2672349840 is a wasteful number, since it uses less digits than its factorization.

2672349840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237221 (or 1237209 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2672349840 is about 51694.7757515206. The cubic root of 2672349840 is about 1387.7069727767.

The spelling of 2672349840 in words is "two billion, six hundred seventy-two million, three hundred forty-nine thousand, eight hundred forty".