2609766720 has 252 divisors, whose sum is σ = 9868060020. Its totient is φ = 632586240.

The previous prime is 2609766683. The next prime is 2609766739. The reversal of 2609766720 is 276679062.

It can be written as a sum of positive squares in 2 ways, for example, as 1124126784 + 1485639936 = 33528^2 + 38544^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 344736 + ... + 352224.

Almost surely, 2^2609766720 is an apocalyptic number.

2609766720 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 2609766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934030010).

2609766720 is an abundant number, since it is smaller than the sum of its proper divisors (7258293300).

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

2609766720 is a wasteful number, since it uses less digits than its factorization.

2609766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2609766720 is about 51085.8759345477. The cubic root of 2609766720 is about 1376.7884993091.

The spelling of 2609766720 in words is "two billion, six hundred nine million, seven hundred sixty-six thousand, seven hundred twenty".