2245830896400 has 1440 divisors, whose sum is σ = 9228744822528. Its totient is φ = 462628454400.

The previous prime is 2245830896399. The next prime is 2245830896497. The reversal of 2245830896400 is 46980385422.

It is a happy number.

2245830896400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9318800280 + ... + 9318800520.

Almost surely, 2^{2245830896400} is an apocalyptic number.

2245830896400 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 2245830896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614372411264).

2245830896400 is an abundant number, since it is smaller than the sum of its proper divisors (6982913926128).

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

2245830896400 is a wasteful number, since it uses less digits than its factorization.

2245830896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 2245830896400 in words is "two trillion, two hundred forty-five billion, eight hundred thirty million, eight hundred ninety-six thousand, four hundred".