2045736000000 has 2800 divisors, whose sum is σ = 9747786476736. Its totient is φ = 414720000000.

The previous prime is 2045735999987. The next prime is 2045736000023. The reversal of 2045736000000 is 6375402.

It is a happy number.

2045736000000 is a `hidden beast` number, since 2 + 0 + 4 + 57 + 3 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 279 ways as a sum of consecutive naturals, for example, 49895999980 + ... + 49896000020.

Almost surely, 2^{2045736000000} is an apocalyptic number.

2045736000000 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 2045736000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873893238368).

2045736000000 is an abundant number, since it is smaller than the sum of its proper divisors (7702050476736).

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

2045736000000 is an frugal number, since it uses more digits than its factorization.

2045736000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 2045736000000 in words is "two trillion, forty-five billion, seven hundred thirty-six million", and thus it is an aban number.