2742442173700 has 144 divisors (see below), whose sum is σ = 6047388942336. Its totient is φ = 1079414208000.

The previous prime is 2742442173683. The next prime is 2742442173743. The reversal of 2742442173700 is 73712442472.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765402109 + ... + 765405691.

It is an arithmetic number, because the mean of its divisors is an integer number (41995756544).

Almost surely, 2^{2742442173700} is an apocalyptic number.

2742442173700 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 2742442173700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023694471168).

2742442173700 is an abundant number, since it is smaller than the sum of its proper divisors (3304946768636).

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

2742442173700 is a wasteful number, since it uses less digits than its factorization.

2742442173700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 43.

The spelling of 2742442173700 in words is "two trillion, seven hundred forty-two billion, four hundred forty-two million, one hundred seventy-three thousand, seven hundred".