2261021540 has 48 divisors (see below), whose sum is σ = 4929709680. Its totient is φ = 870051840.

The previous prime is 2261021533. The next prime is 2261021551. The reversal of 2261021540 is 451201622.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 399424 + 2260622116 = 632^2 + 47546^2 .

It is a super-2 number, since 2×2261021540² = 10224436808687943200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156044 + ... + 169916.

It is an arithmetic number, because the mean of its divisors is an integer number (102702285).

Almost surely, 2^2261021540 is an apocalyptic number.

2261021540 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 2261021540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464854840).

2261021540 is an abundant number, since it is smaller than the sum of its proper divisors (2668688140).

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

2261021540 is a wasteful number, since it uses less digits than its factorization.

2261021540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2261021540 is about 47550.2002098834. The cubic root of 2261021540 is about 1312.5068134491.

The spelling of 2261021540 in words is "two billion, two hundred sixty-one million, twenty-one thousand, five hundred forty".