2356880400 has 540 divisors, whose sum is σ = 9844084224. Its totient is φ = 520128000.

The previous prime is 2356880387. The next prime is 2356880401. The reversal of 2356880400 is 40886532.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2356880401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5468185 + ... + 5468615.

Almost surely, 2^2356880400 is an apocalyptic number.

2356880400 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 2356880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922042112).

2356880400 is an abundant number, since it is smaller than the sum of its proper divisors (7487203824).

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

2356880400 is a wasteful number, since it uses less digits than its factorization.

2356880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2356880400 is about 48547.7126134692. The cubic root of 2356880400 is about 1330.7991503780.

The spelling of 2356880400 in words is "two billion, three hundred fifty-six million, eight hundred eighty thousand, four hundred".