2036155707040 has 768 divisors, whose sum is σ = 6510023654400. Its totient is φ = 583328858112.

The previous prime is 2036155707037. The next prime is 2036155707041. The reversal of 2036155707040 is 407075516302.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2036155706984 and 2036155707002.

It is not an unprimeable number, because it can be changed into a prime (2036155707041) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3007615182 + ... + 3007615858.

It is an arithmetic number, because the mean of its divisors is an integer number (8476593300).

Almost surely, 2^{2036155707040} is an apocalyptic number.

2036155707040 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 2036155707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255011827200).

2036155707040 is an abundant number, since it is smaller than the sum of its proper divisors (4473867947360).

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

2036155707040 is a wasteful number, since it uses less digits than its factorization.

2036155707040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 2036155707040 in words is "two trillion, thirty-six billion, one hundred fifty-five million, seven hundred seven thousand, forty".