2742603162000 has 640 divisors, whose sum is σ = 9669041141760. Its totient is φ = 664784640000.

The previous prime is 2742603161939. The next prime is 2742603162001. The reversal of 2742603162000 is 2613062472.

2742603162000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2742603162001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1420301035 + ... + 1420302965.

It is an arithmetic number, because the mean of its divisors is an integer number (15107876784).

Almost surely, 2^{2742603162000} is an apocalyptic number.

2742603162000 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 2742603162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834520570880).

2742603162000 is an abundant number, since it is smaller than the sum of its proper divisors (6926437979760).

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

2742603162000 is a wasteful number, since it uses less digits than its factorization.

2742603162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 2742603162000 in words is "two trillion, seven hundred forty-two billion, six hundred three million, one hundred sixty-two thousand".