2145607056000 has 640 divisors, whose sum is σ = 8119459679760. Its totient is φ = 561348403200.

The previous prime is 2145607055959. The next prime is 2145607056007. The reversal of 2145607056000 is 6507065412.

It is a happy number.

2145607056000 is a `hidden beast` number, since 2 + 1 + 45 + 6 + 0 + 7 + 0 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 512507082816 + 1633099973184 = 715896^2 + 1277928^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 (2145607056007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68672382 + ... + 68703618.

Almost surely, 2^{2145607056000} is an apocalyptic number.

2145607056000 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 2145607056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059729839880).

2145607056000 is an abundant number, since it is smaller than the sum of its proper divisors (5973852623760).

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

2145607056000 is an equidigital number, since it uses as much as digits as its factorization.

2145607056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31331 (or 31300 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 2145607056000 in words is "two trillion, one hundred forty-five billion, six hundred seven million, fifty-six thousand".