2672914305240 has 320 divisors, whose sum is σ = 9089692032960. Its totient is φ = 704437171200.

The previous prime is 2672914305211. The next prime is 2672914305289. The reversal of 2672914305240 is 425034192762.

2672914305240 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 91 + 4 + 30 + 524 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96366414 + ... + 96394146.

It is an arithmetic number, because the mean of its divisors is an integer number (28405287603).

Almost surely, 2^{2672914305240} is an apocalyptic number.

2672914305240 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 2672914305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544846016480).

2672914305240 is an abundant number, since it is smaller than the sum of its proper divisors (6416777727720).

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

2672914305240 is a wasteful number, since it uses less digits than its factorization.

2672914305240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28104 (or 28091 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2672914305240 in words is "two trillion, six hundred seventy-two billion, nine hundred fourteen million, three hundred five thousand, two hundred forty".