2745822240 has 768 divisors, whose sum is σ = 11902464000. Its totient is φ = 584506368.

The previous prime is 2745822239. The next prime is 2745822301. The reversal of 2745822240 is 422285472.

2745822240 is a `hidden beast` number, since 2 + 74 + 582 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2745822195 and 2745822204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46539331 + ... + 46539389.

It is an arithmetic number, because the mean of its divisors is an integer number (15498000).

Almost surely, 2^2745822240 is an apocalyptic number.

2745822240 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 2745822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951232000).

2745822240 is an abundant number, since it is smaller than the sum of its proper divisors (9156641760).

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

2745822240 is an equidigital number, since it uses as much as digits as its factorization.

2745822240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2745822240 is about 52400.5938897643. The cubic root of 2745822240 is about 1400.3098361865.

The spelling of 2745822240 in words is "two billion, seven hundred forty-five million, eight hundred twenty-two thousand, two hundred forty".