2035312055040 has 1152 divisors, whose sum is σ = 7790504085504. Its totient is φ = 447676416000.

The previous prime is 2035312054991. The next prime is 2035312055047. The reversal of 2035312055040 is 405502135302.

It is a super-2 number, since 2×2035312055040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2035312054989 and 2035312055007.

It is not an unprimeable number, because it can be changed into a prime (2035312055047) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1473795150 + ... + 1473796530.

It is an arithmetic number, because the mean of its divisors is an integer number (6762590352).

Almost surely, 2^{2035312055040} is an apocalyptic number.

2035312055040 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 2035312055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895252042752).

2035312055040 is an abundant number, since it is smaller than the sum of its proper divisors (5755192030464).

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

2035312055040 is a wasteful number, since it uses less digits than its factorization.

2035312055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 2035312055040 in words is "two trillion, thirty-five billion, three hundred twelve million, fifty-five thousand, forty".