2739920097024 has 432 divisors, whose sum is σ = 9374761849600. Its totient is φ = 786575370240.

The previous prime is 2739920097007. The next prime is 2739920097059. The reversal of 2739920097024 is 4207900299372.

2739920097024 is a `hidden beast` number, since 27 + 399 + 200 + 9 + 7 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15804477 + ... + 15976899.

Almost surely, 2^{2739920097024} is an apocalyptic number.

2739920097024 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 2739920097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687380924800).

2739920097024 is an abundant number, since it is smaller than the sum of its proper divisors (6634841752576).

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

2739920097024 is a wasteful number, since it uses less digits than its factorization.

2739920097024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172489 (or 172458 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 2739920097024 in words is "two trillion, seven hundred thirty-nine billion, nine hundred twenty million, ninety-seven thousand, twenty-four".