2101080762 has 256 divisors, whose sum is σ = 5822668800. Its totient is φ = 553236480.

The previous prime is 2101080739. The next prime is 2101080763. The reversal of 2101080762 is 2670801012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2101080763) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9017398 + ... + 9017630.

It is an arithmetic number, because the mean of its divisors is an integer number (22744800).

Almost surely, 2^2101080762 is an apocalyptic number.

2101080762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101080762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911334400).

2101080762 is an abundant number, since it is smaller than the sum of its proper divisors (3721588038).

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

2101080762 is a wasteful number, since it uses less digits than its factorization.

2101080762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2101080762 is about 45837.5475129287. The cubic root of 2101080762 is about 1280.7988100577.

Adding to 2101080762 its reverse (2670801012), we get a palindrome (4771881774).

The spelling of 2101080762 in words is "two billion, one hundred one million, eighty thousand, seven hundred sixty-two".