2609983782 has 96 divisors (see below), whose sum is σ = 6720709632. Its totient is φ = 743649984.

The previous prime is 2609983777. The next prime is 2609983793. The reversal of 2609983782 is 2873899062.

It is a happy number.

2609983782 is a `hidden beast` number, since 260 + 9 + 9 + 8 + 378 + 2 = 666.

It is a super-3 number, since 3×2609983782³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1574298 + ... + 1575954.

It is an arithmetic number, because the mean of its divisors is an integer number (70007392).

Almost surely, 2^2609983782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609983782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360354816).

2609983782 is an abundant number, since it is smaller than the sum of its proper divisors (4110725850).

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

2609983782 is a wasteful number, since it uses less digits than its factorization.

2609983782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2609983782 is about 51088.0003719073. Note that the first 3 decimals coincide. The cubic root of 2609983782 is about 1376.8266687718.

The spelling of 2609983782 in words is "two billion, six hundred nine million, nine hundred eighty-three thousand, seven hundred eighty-two".