2385072275040 has 1152 divisors, whose sum is σ = 10807215374592. Its totient is φ = 464663347200.

The previous prime is 2385072275029. The next prime is 2385072275059. The reversal of 2385072275040 is 405722705832.

2385072275040 is a `hidden beast` number, since 2 + 3 + 8 + 50 + 72 + 27 + 504 + 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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118056940 + ... + 118077140.

It is an arithmetic number, because the mean of its divisors is an integer number (9381263346).

Almost surely, 2^{2385072275040} is an apocalyptic number.

2385072275040 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 2385072275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403607687296).

2385072275040 is an abundant number, since it is smaller than the sum of its proper divisors (8422143099552).

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

2385072275040 is a wasteful number, since it uses less digits than its factorization.

2385072275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20312 (or 20301 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 2385072275040 in words is "two trillion, three hundred eighty-five billion, seventy-two million, two hundred seventy-five thousand, forty".