2745649000 has 48 divisors (see below), whose sum is σ = 6428698380. Its totient is φ = 1097596800.

The previous prime is 2745648977. The next prime is 2745649001. The reversal of 2745649000 is 9465472.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2745649000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 98596 + 2745550404 = 314^2 + 52398^2 .

It is not an unprimeable number, because it can be changed into a prime (2745649001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1656172 + ... + 1657828.

Almost surely, 2^2745649000 is an apocalyptic number.

2745649000 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 2745649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214349190).

2745649000 is an abundant number, since it is smaller than the sum of its proper divisors (3683049380).

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

2745649000 is an frugal number, since it uses more digits than its factorization.

2745649000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2745649000 is about 52398.9408289900. The cubic root of 2745649000 is about 1400.2803860186.

The spelling of 2745649000 in words is "two billion, seven hundred forty-five million, six hundred forty-nine thousand".