2645933500080 has 800 divisors, whose sum is σ = 10352097423360. Its totient is φ = 621470361600.

The previous prime is 2645933500039. The next prime is 2645933500099. The reversal of 2645933500080 is 800053395462.

2645933500080 is a `hidden beast` number, since 2 + 6 + 4 + 593 + 3 + 50 + 0 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2645933499999 and 2645933500035.

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 159 ways as a sum of consecutive naturals, for example, 928070655 + ... + 928073505.

Almost surely, 2^{2645933500080} is an apocalyptic number.

2645933500080 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 2645933500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176048711680).

2645933500080 is an abundant number, since it is smaller than the sum of its proper divisors (7706163923280).

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

2645933500080 is a wasteful number, since it uses less digits than its factorization.

2645933500080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 264593 and 3500080, that added together give a palindrome (3764673).

The spelling of 2645933500080 in words is "two trillion, six hundred forty-five billion, nine hundred thirty-three million, five hundred thousand, eighty".