2642349670092 has 576 divisors, whose sum is σ = 8186305720320. Its totient is φ = 730091750400.

The previous prime is 2642349670091. The next prime is 2642349670183. The reversal of 2642349670092 is 2900769432462.

2642349670092 is a `hidden beast` number, since 2 + 64 + 2 + 3 + 496 + 7 + 0 + 0 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2642349670091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3097713138 + ... + 3097713990.

It is an arithmetic number, because the mean of its divisors is an integer number (14212336320).

Almost surely, 2^{2642349670092} is an apocalyptic number.

2642349670092 is a gapful number since it is divisible by the number (22) 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 2642349670092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093152860160).

2642349670092 is an abundant number, since it is smaller than the sum of its proper divisors (5543956050228).

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

2642349670092 is a wasteful number, since it uses less digits than its factorization.

2642349670092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2642349670092 in words is "two trillion, six hundred forty-two billion, three hundred forty-nine million, six hundred seventy thousand, ninety-two".