2742534015100 has 144 divisors (see below), whose sum is σ = 6875385009696. Its totient is φ = 938463232000.

The previous prime is 2742534015097. The next prime is 2742534015101. The reversal of 2742534015100 is 15104352472.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742534015101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185889324 + ... + 185904076.

It is an arithmetic number, because the mean of its divisors is an integer number (47745729234).

Almost surely, 2^{2742534015100} is an apocalyptic number.

2742534015100 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 2742534015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437692504848).

2742534015100 is an abundant number, since it is smaller than the sum of its proper divisors (4132850994596).

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

2742534015100 is a wasteful number, since it uses less digits than its factorization.

2742534015100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24736 (or 24729 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

Adding to 2742534015100 its reverse (15104352472), we get a palindrome (2757638367572).

The spelling of 2742534015100 in words is "two trillion, seven hundred forty-two billion, five hundred thirty-four million, fifteen thousand, one hundred".