2749252260480 has 512 divisors, whose sum is σ = 9757673164800. Its totient is φ = 652742737920.

The previous prime is 2749252260389. The next prime is 2749252260539. The reversal of 2749252260480 is 840622529472.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737656377 + ... + 737660103.

It is an arithmetic number, because the mean of its divisors is an integer number (19057955400).

Almost surely, 2^{2749252260480} is an apocalyptic number.

2749252260480 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 2749252260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878836582400).

2749252260480 is an abundant number, since it is smaller than the sum of its proper divisors (7008420904320).

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

2749252260480 is a wasteful number, since it uses less digits than its factorization.

2749252260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 2749252260480 in words is "two trillion, seven hundred forty-nine billion, two hundred fifty-two million, two hundred sixty thousand, four hundred eighty".