2742581140992 has 1440 divisors, whose sum is σ = 10716163121664. Its totient is φ = 679908556800.

The previous prime is 2742581140973. The next prime is 2742581141101. The reversal of 2742581140992 is 2990411852472.

2742581140992 is a `hidden beast` number, since 2 + 7 + 42 + 581 + 14 + 0 + 9 + 9 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5949199642 + ... + 5949200102.

Almost surely, 2^{2742581140992} is an apocalyptic number.

2742581140992 is a gapful number since it is divisible by the number (22) 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 2742581140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358081560832).

2742581140992 is an abundant number, since it is smaller than the sum of its proper divisors (7973581980672).

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

2742581140992 is an frugal number, since it uses more digits than its factorization.

2742581140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2742581140992 in words is "two trillion, seven hundred forty-two billion, five hundred eighty-one million, one hundred forty thousand, nine hundred ninety-two".