2354714000 has 80 divisors (see below), whose sum is σ = 5750564976. Its totient is φ = 932480000.

The previous prime is 2354713997. The next prime is 2354714039. The reversal of 2354714000 is 4174532.

It can be written as a sum of positive squares in 8 ways, for example, as 85525504 + 2269188496 = 9248^2 + 47636^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 196172 + ... + 207828.

Almost surely, 2^2354714000 is an apocalyptic number.

2354714000 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 2354714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875282488).

2354714000 is an abundant number, since it is smaller than the sum of its proper divisors (3395850976).

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

2354714000 is a wasteful number, since it uses less digits than its factorization.

2354714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11781 (or 11765 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2354714000 is about 48525.3954131236. The cubic root of 2354714000 is about 1330.3912768916.

Adding to 2354714000 its reverse (4174532), we get a palindrome (2358888532).

The spelling of 2354714000 in words is "two billion, three hundred fifty-four million, seven hundred fourteen thousand".