2346673680 has 400 divisors, whose sum is σ = 8904273840. Its totient is φ = 569327616.

The previous prime is 2346673661. The next prime is 2346673687. The reversal of 2346673680 is 863766432.

2346673680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1172103696 + 1174569984 = 34236^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2346673687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7497204 + ... + 7497516.

Almost surely, 2^2346673680 is an apocalyptic number.

2346673680 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 2346673680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452136920).

2346673680 is an abundant number, since it is smaller than the sum of its proper divisors (6557600160).

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

2346673680 is a wasteful number, since it uses less digits than its factorization.

2346673680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 2346673680 is about 48442.4780538733. The cubic root of 2346673680 is about 1328.8753150559.

The spelling of 2346673680 in words is "two billion, three hundred forty-six million, six hundred seventy-three thousand, six hundred eighty".