2604750720 has 512 divisors, whose sum is σ = 9993715200. Its totient is φ = 568688640.

The previous prime is 2604750689. The next prime is 2604750767. The reversal of 2604750720 is 270574062.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14551591 + ... + 14551769.

It is an arithmetic number, because the mean of its divisors is an integer number (19518975).

Almost surely, 2^2604750720 is an apocalyptic number.

2604750720 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 2604750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996857600).

2604750720 is an abundant number, since it is smaller than the sum of its proper divisors (7388964480).

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

2604750720 is a wasteful number, since it uses less digits than its factorization.

2604750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 2604750720 is about 51036.7585177586. The cubic root of 2604750720 is about 1375.9058661040.

It can be divided in two parts, 26047 and 50720, that added together give a palindrome (76767).

The spelling of 2604750720 in words is "two billion, six hundred four million, seven hundred fifty thousand, seven hundred twenty".