2011015511008 has 192 divisors, whose sum is σ = 4877492336640. Its totient is φ = 796958134272.

The previous prime is 2011015510997. The next prime is 2011015511041. The reversal of 2011015511008 is 8001155101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74598460 + ... + 74625412.

It is an arithmetic number, because the mean of its divisors is an integer number (25403605920).

Almost surely, 2^{2011015511008} is an apocalyptic number.

2011015511008 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 2011015511008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438746168320).

2011015511008 is an abundant number, since it is smaller than the sum of its proper divisors (2866476825632).

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

2011015511008 is a wasteful number, since it uses less digits than its factorization.

2011015511008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27409 (or 27401 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 25.

The spelling of 2011015511008 in words is "two trillion, eleven billion, fifteen million, five hundred eleven thousand, eight".