2742923620224 has 128 divisors (see below), whose sum is σ = 8356577664000. Its totient is φ = 884814036480.

The previous prime is 2742923620201. The next prime is 2742923620259. The reversal of 2742923620224 is 4220263292472.

2742923620224 is a `hidden beast` number, since 27 + 42 + 9 + 2 + 362 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2742923620224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12693994 + ... + 12908265.

It is an arithmetic number, because the mean of its divisors is an integer number (65285763000).

Almost surely, 2^{2742923620224} is an apocalyptic number.

2742923620224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2742923620224 is an abundant number, since it is smaller than the sum of its proper divisors (5613654043776).

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

2742923620224 is a wasteful number, since it uses less digits than its factorization.

2742923620224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25602313 (or 25602295 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2742923620224 in words is "two trillion, seven hundred forty-two billion, nine hundred twenty-three million, six hundred twenty thousand, two hundred twenty-four".