2011042102340 has 48 divisors (see below), whose sum is σ = 4226822583984. Its totient is φ = 803724902400.

The previous prime is 2011042102309. The next prime is 2011042102343. The reversal of 2011042102340 is 432012401102.

It can be written as a sum of positive squares in 8 ways, for example, as 127867747396 + 1883174354944 = 357586^2 + 1372288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2011042102343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194844380 + ... + 194854700.

It is an arithmetic number, because the mean of its divisors is an integer number (88058803833).

Almost surely, 2^{2011042102340} is an apocalyptic number.

2011042102340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011042102340 is an abundant number, since it is smaller than the sum of its proper divisors (2215780481644).

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

2011042102340 is a wasteful number, since it uses less digits than its factorization.

2011042102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17768 (or 17766 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2011042102340 its reverse (432012401102), we get a palindrome (2443054503442).

The spelling of 2011042102340 in words is "two trillion, eleven billion, forty-two million, one hundred two thousand, three hundred forty".