2745630720 has 612 divisors, whose sum is σ = 11654833320. Its totient is φ = 594542592.

The previous prime is 2745630691. The next prime is 2745630749. The reversal of 2745630720 is 270365472.

It is a happy number.

2745630720 is a `hidden beast` number, since 2 + 74 + 563 + 0 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2745630691) and next prime (2745630749).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144506871 + ... + 144506889.

Almost surely, 2^2745630720 is an apocalyptic number.

2745630720 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 2745630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827416660).

2745630720 is an abundant number, since it is smaller than the sum of its proper divisors (8909202600).

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

2745630720 is an equidigital number, since it uses as much as digits as its factorization.

2745630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2745630720 is about 52398.7663976930. The cubic root of 2745630720 is about 1400.2772784131.

The spelling of 2745630720 in words is "two billion, seven hundred forty-five million, six hundred thirty thousand, seven hundred twenty".