2672405120 has 384 divisors, whose sum is σ = 8305182720. Its totient is φ = 812851200.

The previous prime is 2672405077. The next prime is 2672405123. The reversal of 2672405120 is 215042762.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672405123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21042497 + ... + 21042623.

It is an arithmetic number, because the mean of its divisors is an integer number (21628080).

Almost surely, 2^2672405120 is an apocalyptic number.

2672405120 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 2672405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152591360).

2672405120 is an abundant number, since it is smaller than the sum of its proper divisors (5632777600).

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

2672405120 is a wasteful number, since it uses less digits than its factorization.

2672405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2672405120 is about 51695.3104256082. The cubic root of 2672405120 is about 1387.7165413733.

Adding to 2672405120 its reverse (215042762), we get a palindrome (2887447882).

The spelling of 2672405120 in words is "two billion, six hundred seventy-two million, four hundred five thousand, one hundred twenty".