2355054000 has 320 divisors, whose sum is σ = 8281553280. Its totient is φ = 572313600.

The previous prime is 2355053999. The next prime is 2355054029. The reversal of 2355054000 is 4505532.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8501862 + ... + 8502138.

It is an arithmetic number, because the mean of its divisors is an integer number (25879854).

Almost surely, 2^2355054000 is an apocalyptic number.

2355054000 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 2355054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140776640).

2355054000 is an abundant number, since it is smaller than the sum of its proper divisors (5926499280).

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

2355054000 is a wasteful number, since it uses less digits than its factorization.

2355054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 2355054000 is about 48528.8986069126. The cubic root of 2355054000 is about 1330.4553060780.

Adding to 2355054000 its reverse (4505532), we get a palindrome (2359559532).

The spelling of 2355054000 in words is "two billion, three hundred fifty-five million, fifty-four thousand".