2361656340 has 72 divisors (see below), whose sum is σ = 7186462920. Its totient is φ = 627773184.

The previous prime is 2361656333. The next prime is 2361656393. The reversal of 2361656340 is 436561632.

2361656340 is a `hidden beast` number, since 2 + 3 + 6 + 16 + 5 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54199044 + 2307457296 = 7362^2 + 48036^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2361656295 and 2361656304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36366 + ... + 77754.

It is an arithmetic number, because the mean of its divisors is an integer number (99811985).

Almost surely, 2^2361656340 is an apocalyptic number.

2361656340 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 2361656340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593231460).

2361656340 is an abundant number, since it is smaller than the sum of its proper divisors (4824806580).

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

2361656340 is a wasteful number, since it uses less digits than its factorization.

2361656340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41721 (or 41716 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2361656340 is about 48596.8758255096. The cubic root of 2361656340 is about 1331.6974463651.

The spelling of 2361656340 in words is "two billion, three hundred sixty-one million, six hundred fifty-six thousand, three hundred forty".