2745759498240 has 544 divisors, whose sum is σ = 9895529152512. Its totient is φ = 644087808000.

The previous prime is 2745759498211. The next prime is 2745759498259. The reversal of 2745759498240 is 428949575472.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335212545 + ... + 335220735.

Almost surely, 2^{2745759498240} is an apocalyptic number.

2745759498240 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 2745759498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947764576256).

2745759498240 is an abundant number, since it is smaller than the sum of its proper divisors (7149769654272).

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

2745759498240 is an equidigital number, since it uses as much as digits as its factorization.

2745759498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 2745759498240 in words is "two trillion, seven hundred forty-five billion, seven hundred fifty-nine million, four hundred ninety-eight thousand, two hundred forty".