2679360094152 has 384 divisors, whose sum is σ = 8727932928000. Its totient is φ = 741803432832.

The previous prime is 2679360094129. The next prime is 2679360094153. The reversal of 2679360094152 is 2514900639762.

2679360094152 is a `hidden beast` number, since 26 + 7 + 9 + 3 + 600 + 9 + 4 + 1 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2679360094153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134854923 + ... + 134874789.

It is an arithmetic number, because the mean of its divisors is an integer number (22728992000).

Almost surely, 2^{2679360094152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679360094152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363966464000).

2679360094152 is an abundant number, since it is smaller than the sum of its proper divisors (6048572833848).

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

2679360094152 is a wasteful number, since it uses less digits than its factorization.

2679360094152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20070 (or 20049 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2679360094152 in words is "two trillion, six hundred seventy-nine billion, three hundred sixty million, ninety-four thousand, one hundred fifty-two".