2346640416 has 96 divisors (see below), whose sum is σ = 6852746880. Its totient is φ = 781256448.

The previous prime is 2346640409. The next prime is 2346640423. The reversal of 2346640416 is 6140466432.

2346640416 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 640 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2346640409) and next prime (2346640423).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249270 + ... + 1251146.

It is an arithmetic number, because the mean of its divisors is an integer number (71382780).

Almost surely, 2^2346640416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2346640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426373440).

2346640416 is an abundant number, since it is smaller than the sum of its proper divisors (4506106464).

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

2346640416 is a wasteful number, since it uses less digits than its factorization.

2346640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2346640416 is about 48442.1347176195. The cubic root of 2346640416 is about 1328.8690361091.

The spelling of 2346640416 in words is "two billion, three hundred forty-six million, six hundred forty thousand, four hundred sixteen".