2785238819520 has 224 divisors, whose sum is σ = 9042095240640. Its totient is φ = 726119546880.

The previous prime is 2785238819501. The next prime is 2785238819527. The reversal of 2785238819520 is 259188325872.

It is a super-2 number, since 2×2785238819520² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2785238819527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14199876 + ... + 14394684.

It is an arithmetic number, because the mean of its divisors is an integer number (40366496610).

Almost surely, 2^{2785238819520} is an apocalyptic number.

2785238819520 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 2785238819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521047620320).

2785238819520 is an abundant number, since it is smaller than the sum of its proper divisors (6256856421120).

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

2785238819520 is a wasteful number, since it uses less digits than its factorization.

2785238819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195163 (or 195153 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 2785238819520 in words is "two trillion, seven hundred eighty-five billion, two hundred thirty-eight million, eight hundred nineteen thousand, five hundred twenty".