2742889443840 has 2240 divisors, whose sum is σ = 12551208671232. Its totient is φ = 558976204800.

The previous prime is 2742889443829. The next prime is 2742889443883. The reversal of 2742889443840 is 483449882472.

2742889443840 is a `hidden beast` number, since 2 + 7 + 428 + 8 + 94 + 43 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×2742889443840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 223 ways as a sum of consecutive naturals, for example, 5264662780 + ... + 5264663300.

Almost surely, 2^{2742889443840} is an apocalyptic number.

2742889443840 is a gapful number since it is divisible by the number (20) 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 2742889443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275604335616).

2742889443840 is an abundant number, since it is smaller than the sum of its proper divisors (9808319227392).

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

2742889443840 is an equidigital number, since it uses as much as digits as its factorization.

2742889443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 2742889443840 in words is "two trillion, seven hundred forty-two billion, eight hundred eighty-nine million, four hundred forty-three thousand, eight hundred forty".