2742410316400 has 60 divisors (see below), whose sum is σ = 6589494161800. Its totient is φ = 1096822045440.

The previous prime is 2742410316397. The next prime is 2742410316407. The reversal of 2742410316400 is 46130142472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742410316407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2675491 + ... + 3555709.

Almost surely, 2^{2742410316400} is an apocalyptic number.

2742410316400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742410316400 is an abundant number, since it is smaller than the sum of its proper divisors (3847083845400).

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

2742410316400 is a wasteful number, since it uses less digits than its factorization.

2742410316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888026 (or 888015 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 2742410316400 its reverse (46130142472), we get a palindrome (2788540458872).

The spelling of 2742410316400 in words is "two trillion, seven hundred forty-two billion, four hundred ten million, three hundred sixteen thousand, four hundred".