2011540120 has 32 divisors (see below), whose sum is σ = 4566028320. Its totient is φ = 797493760.

The previous prime is 2011540117. The next prime is 2011540123. The reversal of 2011540120 is 210451102.

It is an interprime number because it is at equal distance from previous prime (2011540117) and next prime (2011540123).

It is a super-2 number, since 2×2011540120² = 8092587308739228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011540094 and 2011540103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011540123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217996 + ... + 227035.

It is an arithmetic number, because the mean of its divisors is an integer number (142688385).

Almost surely, 2^2011540120 is an apocalyptic number.

2011540120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011540120 is an abundant number, since it is smaller than the sum of its proper divisors (2554488200).

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

2011540120 is a wasteful number, since it uses less digits than its factorization.

2011540120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445155 (or 445151 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2011540120 is about 44850.1964321228. The cubic root of 2011540120 is about 1262.3396773185.

Adding to 2011540120 its reverse (210451102), we get a palindrome (2221991222).

The spelling of 2011540120 in words is "two billion, eleven million, five hundred forty thousand, one hundred twenty".