2545791744 has 72 divisors (see below), whose sum is σ = 6784771840. Its totient is φ = 847438848.

The previous prime is 2545791739. The next prime is 2545791749. The reversal of 2545791744 is 4471975452.

2545791744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2545791739) and next prime (2545791749).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2545791693 and 2545791702.

It is not an unprimeable number, because it can be changed into a prime (2545791749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 703989 + ... + 707595.

Almost surely, 2^2545791744 is an apocalyptic number.

2545791744 is a gapful number since it is divisible by the number (24) 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 2545791744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392385920).

2545791744 is an abundant number, since it is smaller than the sum of its proper divisors (4238980096).

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

2545791744 is an equidigital number, since it uses as much as digits as its factorization.

2545791744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4531 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 2545791744 is about 50455.8395431094. The cubic root of 2545791744 is about 1365.4452507677.

The spelling of 2545791744 in words is "two billion, five hundred forty-five million, seven hundred ninety-one thousand, seven hundred forty-four".