2354000000 has 224 divisors, whose sum is σ = 6454604880. Its totient is φ = 848000000.

The previous prime is 2353999969. The next prime is 2354000017. The reversal of 2354000000 is 4532.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21999947 + ... + 22000053.

Almost surely, 2^2354000000 is an apocalyptic number.

2354000000 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 2354000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227302440).

2354000000 is an abundant number, since it is smaller than the sum of its proper divisors (4100604880).

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

2354000000 is an frugal number, since it uses more digits than its factorization.

2354000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2354000000 is about 48518.0378828328. The cubic root of 2354000000 is about 1330.2567955352.

Adding to 2354000000 its reverse (4532), we get a palindrome (2354004532).

The spelling of 2354000000 in words is "two billion, three hundred fifty-four million", and thus it is an aban number.