2645182483200 has 1296 divisors, whose sum is σ = 10623489115680. Its totient is φ = 641787494400.

The previous prime is 2645182483159. The next prime is 2645182483247. The reversal of 2645182483200 is 23842815462.

2645182483200 is a `hidden beast` number, since 2 + 64 + 518 + 2 + 48 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2823033132 + ... + 2823034068.

Almost surely, 2^{2645182483200} is an apocalyptic number.

2645182483200 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 2645182483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311744557840).

2645182483200 is an abundant number, since it is smaller than the sum of its proper divisors (7978306632480).

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

2645182483200 is a wasteful number, since it uses less digits than its factorization.

2645182483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2645182483200 in words is "two trillion, six hundred forty-five billion, one hundred eighty-two million, four hundred eighty-three thousand, two hundred".