2353978800 has 480 divisors, whose sum is σ = 8856576000. Its totient is φ = 593049600.

The previous prime is 2353978777. The next prime is 2353978829. The reversal of 2353978800 is 88793532.

2353978800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26449156 + ... + 26449244.

It is an arithmetic number, because the mean of its divisors is an integer number (18451200).

Almost surely, 2^2353978800 is an apocalyptic number.

2353978800 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 2353978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428288000).

2353978800 is an abundant number, since it is smaller than the sum of its proper divisors (6502597200).

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

2353978800 is a wasteful number, since it uses less digits than its factorization.

2353978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2353978800 is about 48517.8194068942. The cubic root of 2353978800 is about 1330.2528021157.

The spelling of 2353978800 in words is "two billion, three hundred fifty-three million, nine hundred seventy-eight thousand, eight hundred".