2011158497040 has 480 divisors, whose sum is σ = 8080161122304. Its totient is φ = 409010273280.

The previous prime is 2011158497021. The next prime is 2011158497059. The reversal of 2011158497040 is 407948511102.

It is an interprime number because it is at equal distance from previous prime (2011158497021) and next prime (2011158497059).

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 = 2011158496983 and 2011158497001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5914527 + ... + 6245313.

Almost surely, 2^{2011158497040} is an apocalyptic number.

2011158497040 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 2011158497040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040080561152).

2011158497040 is an abundant number, since it is smaller than the sum of its proper divisors (6069002625264).

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

2011158497040 is a wasteful number, since it uses less digits than its factorization.

2011158497040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330875 (or 330862 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 2011158497040 in words is "two trillion, eleven billion, one hundred fifty-eight million, four hundred ninety-seven thousand, forty".