2745627840 has 672 divisors, whose sum is σ = 10863949824. Its totient is φ = 656916480.

The previous prime is 2745627827. The next prime is 2745627869. The reversal of 2745627840 is 487265472.

It is a happy number.

2745627840 is a `hidden beast` number, since 2 + 7 + 4 + 562 + 7 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40979487 + ... + 40979553.

It is an arithmetic number, because the mean of its divisors is an integer number (16166592).

Almost surely, 2^2745627840 is an apocalyptic number.

2745627840 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 2745627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431974912).

2745627840 is an abundant number, since it is smaller than the sum of its proper divisors (8118321984).

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

2745627840 is a wasteful number, since it uses less digits than its factorization.

2745627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2745627840 is about 52398.7389161228. The cubic root of 2745627840 is about 1400.2767888109.

The spelling of 2745627840 in words is "two billion, seven hundred forty-five million, six hundred twenty-seven thousand, eight hundred forty".