2101763460 has 96 divisors (see below), whose sum is σ = 6283791360. Its totient is φ = 523619712.

The previous prime is 2101763453. The next prime is 2101763491. The reversal of 2101763460 is 643671012.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 41631 + ... + 77049.

It is an arithmetic number, because the mean of its divisors is an integer number (65456160).

Almost surely, 2^2101763460 is an apocalyptic number.

2101763460 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 2101763460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141895680).

2101763460 is an abundant number, since it is smaller than the sum of its proper divisors (4182027900).

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

2101763460 is a wasteful number, since it uses less digits than its factorization.

2101763460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35497 (or 35495 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2101763460 is about 45844.9938379317. The cubic root of 2101763460 is about 1280.9375171006.

The spelling of 2101763460 in words is "two billion, one hundred one million, seven hundred sixty-three thousand, four hundred sixty".