2133245150400 has 1344 divisors, whose sum is σ = 9022772505600. Its totient is φ = 429123502080.

The previous prime is 2133245150357. The next prime is 2133245150401. The reversal of 2133245150400 is 40515423312.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×2133245150400³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2133245150401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1051376586 + ... + 1051378614.

It is an arithmetic number, because the mean of its divisors is an integer number (6713372400).

Almost surely, 2^{2133245150400} is an apocalyptic number.

2133245150400 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 2133245150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511386252800).

2133245150400 is an abundant number, since it is smaller than the sum of its proper divisors (6889527355200).

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

2133245150400 is a wasteful number, since it uses less digits than its factorization.

2133245150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2133245150400 in words is "two trillion, one hundred thirty-three billion, two hundred forty-five million, one hundred fifty thousand, four hundred".