2011255185408 has 672 divisors, whose sum is σ = 6408381619584. Its totient is φ = 559266398208.

The previous prime is 2011255185259. The next prime is 2011255185413. The reversal of 2011255185408 is 8045815521102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2011255185408² (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 self number, because there is not a number n which added to its sum of digits gives 2011255185408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12043444141 + ... + 12043444307.

It is an arithmetic number, because the mean of its divisors is an integer number (9536282172).

Almost surely, 2^{2011255185408} is an apocalyptic number.

2011255185408 is a gapful number since it is divisible by the number (28) 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 2011255185408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204190809792).

2011255185408 is an abundant number, since it is smaller than the sum of its proper divisors (4397126434176).

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

2011255185408 is a wasteful number, since it uses less digits than its factorization.

2011255185408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 42.

The spelling of 2011255185408 in words is "two trillion, eleven billion, two hundred fifty-five million, one hundred eighty-five thousand, four hundred eight".