2011254136416 has 864 divisors, whose sum is σ = 7463692978560. Its totient is φ = 509044580352.

The previous prime is 2011254136343. The next prime is 2011254136523. The reversal of 2011254136416 is 6146314521102.

2011254136416 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 2 + 5 + 4 + 1 + 3 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 742981335 + ... + 742984041.

It is an arithmetic number, because the mean of its divisors is an integer number (8638533540).

Almost surely, 2^{2011254136416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011254136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731846489280).

2011254136416 is an abundant number, since it is smaller than the sum of its proper divisors (5452438842144).

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

2011254136416 is a wasteful number, since it uses less digits than its factorization.

2011254136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 2011254136416 its reverse (6146314521102), we get a palindrome (8157568657518).

The spelling of 2011254136416 in words is "two trillion, eleven billion, two hundred fifty-four million, one hundred thirty-six thousand, four hundred sixteen".