2306639779840 has 768 divisors, whose sum is σ = 6520370088960. Its totient is φ = 774847856640.

The previous prime is 2306639779747. The next prime is 2306639779841. The reversal of 2306639779840 is 489779366032.

It is a super-3 number, since 3×2306639779840³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306639779841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14691973042 + ... + 14691973198.

It is an arithmetic number, because the mean of its divisors is an integer number (8490065220).

Almost surely, 2^{2306639779840} is an apocalyptic number.

2306639779840 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 2306639779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260185044480).

2306639779840 is an abundant number, since it is smaller than the sum of its proper divisors (4213730309120).

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

2306639779840 is a wasteful number, since it uses less digits than its factorization.

2306639779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 64.

The spelling of 2306639779840 in words is "two trillion, three hundred six billion, six hundred thirty-nine million, seven hundred seventy-nine thousand, eight hundred forty".