2742494920704 has 1536 divisors, whose sum is σ = 10586093990400. Its totient is φ = 702303436800.

The previous prime is 2742494920703. The next prime is 2742494920709. The reversal of 2742494920704 is 4070294942472.

2742494920704 is a `hidden beast` number, since 2 + 7 + 42 + 49 + 492 + 0 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742494920703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38626688989 + ... + 38626689059.

It is an arithmetic number, because the mean of its divisors is an integer number (6891988275).

Almost surely, 2^{2742494920704} is an apocalyptic number.

2742494920704 is a gapful number since it is divisible by the number (24) 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 2742494920704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293046995200).

2742494920704 is an abundant number, since it is smaller than the sum of its proper divisors (7843599069696).

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

2742494920704 is an frugal number, since it uses more digits than its factorization.

2742494920704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2742494920704 in words is "two trillion, seven hundred forty-two billion, four hundred ninety-four million, nine hundred twenty thousand, seven hundred four".