2679075372240 has 480 divisors, whose sum is σ = 9562947039360. Its totient is φ = 670253875200.

The previous prime is 2679075372203. The next prime is 2679075372251. The reversal of 2679075372240 is 422735709762.

It is a happy number.

2679075372240 is a `hidden beast` number, since 2 + 67 + 9 + 0 + 7 + 537 + 2 + 2 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1062702180 + ... + 1062704700.

It is an arithmetic number, because the mean of its divisors is an integer number (19922806332).

Almost surely, 2^{2679075372240} is an apocalyptic number.

2679075372240 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 2679075372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781473519680).

2679075372240 is an abundant number, since it is smaller than the sum of its proper divisors (6883871667120).

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

2679075372240 is a wasteful number, since it uses less digits than its factorization.

2679075372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 2679075372240 in words is "two trillion, six hundred seventy-nine billion, seventy-five million, three hundred seventy-two thousand, two hundred forty".