2745100800 has 720 divisors, whose sum is σ = 11142679680. Its totient is φ = 661340160.

The previous prime is 2745100793. The next prime is 2745100801. The reversal of 2745100800 is 80015472.

2745100800 is a `hidden beast` number, since 2 + 74 + 510 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2745100801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58406377 + ... + 58406423.

It is an arithmetic number, because the mean of its divisors is an integer number (15475944).

Almost surely, 2^2745100800 is an apocalyptic number.

2745100800 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 2745100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571339840).

2745100800 is an abundant number, since it is smaller than the sum of its proper divisors (8397578880).

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

2745100800 is a wasteful number, since it uses less digits than its factorization.

2745100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2745100800 is about 52393.7095460896. The cubic root of 2745100800 is about 1400.1871858557.

The spelling of 2745100800 in words is "two billion, seven hundred forty-five million, one hundred thousand, eight hundred".