2081355390240 has 384 divisors, whose sum is σ = 7591714357248. Its totient is φ = 469502853120.

The previous prime is 2081355390239. The next prime is 2081355390271. The reversal of 2081355390240 is 420935531802.

It is a super-2 number, since 2×2081355390240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2081355390192 and 2081355390201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81490752 + ... + 81516288.

It is an arithmetic number, because the mean of its divisors is an integer number (19770089472).

Almost surely, 2^{2081355390240} is an apocalyptic number.

2081355390240 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 2081355390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795857178624).

2081355390240 is an abundant number, since it is smaller than the sum of its proper divisors (5510358967008).

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

2081355390240 is a wasteful number, since it uses less digits than its factorization.

2081355390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25880 (or 25872 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 2081355390240 in words is "two trillion, eighty-one billion, three hundred fifty-five million, three hundred ninety thousand, two hundred forty".