2692314575742 has 128 divisors (see below), whose sum is σ = 6152241807360. Its totient is φ = 778008672000.

The previous prime is 2692314575729. The next prime is 2692314575749. The reversal of 2692314575742 is 2475754132962.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2692314575749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382481859 + ... + 382488897.

It is an arithmetic number, because the mean of its divisors is an integer number (48064389120).

Almost surely, 2^{2692314575742} is an apocalyptic number.

2692314575742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2692314575742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076120903680).

2692314575742 is an abundant number, since it is smaller than the sum of its proper divisors (3459927231618).

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

2692314575742 is a wasteful number, since it uses less digits than its factorization.

2692314575742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9790.

The product of its digits is 25401600, while the sum is 57.

The spelling of 2692314575742 in words is "two trillion, six hundred ninety-two billion, three hundred fourteen million, five hundred seventy-five thousand, seven hundred forty-two".