2742765889248 has 1536 divisors, whose sum is σ = 10766794752000. Its totient is φ = 663896217600.

The previous prime is 2742765889231. The next prime is 2742765889273. The reversal of 2742765889248 is 8429885672472.

2742765889248 is a `hidden beast` number, since 27 + 427 + 6 + 58 + 8 + 92 + 48 = 666.

2742765889248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7236849123 + ... + 7236849501.

It is an arithmetic number, because the mean of its divisors is an integer number (7009632000).

Almost surely, 2^{2742765889248} is an apocalyptic number.

2742765889248 is a gapful number since it is divisible by the number (28) 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 2742765889248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383397376000).

2742765889248 is an abundant number, since it is smaller than the sum of its proper divisors (8024028862752).

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

2742765889248 is a wasteful number, since it uses less digits than its factorization.

2742765889248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 462 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 2742765889248 in words is "two trillion, seven hundred forty-two billion, seven hundred sixty-five million, eight hundred eighty-nine thousand, two hundred forty-eight".