2745427821024 has 192 divisors, whose sum is σ = 8376351008256. Its totient is φ = 771138330624.

The previous prime is 2745427821013. The next prime is 2745427821053. The reversal of 2745427821024 is 4201287245472.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14969044 + ... + 15151340.

It is an arithmetic number, because the mean of its divisors is an integer number (43626828168).

Almost surely, 2^{2745427821024} is an apocalyptic number.

2745427821024 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 2745427821024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188175504128).

2745427821024 is an abundant number, since it is smaller than the sum of its proper divisors (5630923187232).

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

2745427821024 is a wasteful number, since it uses less digits than its factorization.

2745427821024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182697 (or 182689 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 48.

The spelling of 2745427821024 in words is "two trillion, seven hundred forty-five billion, four hundred twenty-seven million, eight hundred twenty-one thousand, twenty-four".