2342813616 has 180 divisors, whose sum is σ = 7761992784. Its totient is φ = 655269120.

The previous prime is 2342813611. The next prime is 2342813657. The reversal of 2342813616 is 6163182432.

2342813616 is a `hidden beast` number, since 2 + 3 + 4 + 28 + 13 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2342813611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 221341 + ... + 231683.

Almost surely, 2^2342813616 is an apocalyptic number.

2342813616 is a gapful number since it is divisible by the number (26) 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 2342813616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880996392).

2342813616 is an abundant number, since it is smaller than the sum of its proper divisors (5419179168).

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

2342813616 is a wasteful number, since it uses less digits than its factorization.

2342813616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392 (or 10372 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2342813616 is about 48402.6199290906. The cubic root of 2342813616 is about 1328.1462889845.

The spelling of 2342813616 in words is "two billion, three hundred forty-two million, eight hundred thirteen thousand, six hundred sixteen".