2046245115200 has 336 divisors, whose sum is σ = 6026939001216. Its totient is φ = 673888051200.

The previous prime is 2046245115169. The next prime is 2046245115209. The reversal of 2046245115200 is 25115426402.

It is a super-2 number, since 2×2046245115200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046245115209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12042029 + ... + 12210771.

It is an arithmetic number, because the mean of its divisors is an integer number (17937318456).

Almost surely, 2^{2046245115200} is an apocalyptic number.

2046245115200 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 2046245115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013469500608).

2046245115200 is an abundant number, since it is smaller than the sum of its proper divisors (3980693886016).

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

2046245115200 is a wasteful number, since it uses less digits than its factorization.

2046245115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168842 (or 168827 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 2046245115200 in words is "two trillion, forty-six billion, two hundred forty-five million, one hundred fifteen thousand, two hundred".