2354368680 has 288 divisors, whose sum is σ = 8185937760. Its totient is φ = 608549760.

The previous prime is 2354368669. The next prime is 2354368693. The reversal of 2354368680 is 868634532.

It is a happy number.

2354368680 is a `hidden beast` number, since 23 + 543 + 6 + 8 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17972215 + ... + 17972345.

It is an arithmetic number, because the mean of its divisors is an integer number (28423395).

Almost surely, 2^2354368680 is an apocalyptic number.

2354368680 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 2354368680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092968880).

2354368680 is an abundant number, since it is smaller than the sum of its proper divisors (5831569080).

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

2354368680 is a wasteful number, since it uses less digits than its factorization.

2354368680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2354368680 is about 48521.8371457636. The cubic root of 2354368680 is about 1330.3262395275.

The spelling of 2354368680 in words is "two billion, three hundred fifty-four million, three hundred sixty-eight thousand, six hundred eighty".