2261260540 has 96 divisors (see below), whose sum is σ = 6004067328. Its totient is φ = 694848000.

The previous prime is 2261260523. The next prime is 2261260553. The reversal of 2261260540 is 450621622.

It is a super-2 number, since 2×2261260540² = 10226598459522183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2261260499 and 2261260508.

It is a congruent number.

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, 99000 + ... + 119680.

It is an arithmetic number, because the mean of its divisors is an integer number (62542368).

Almost surely, 2^2261260540 is an apocalyptic number.

2261260540 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 2261260540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002033664).

2261260540 is an abundant number, since it is smaller than the sum of its proper divisors (3742806788).

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

2261260540 is a wasteful number, since it uses less digits than its factorization.

2261260540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20779 (or 20777 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2261260540 is about 47552.7132769519. The cubic root of 2261260540 is about 1312.5530577493.

The spelling of 2261260540 in words is "two billion, two hundred sixty-one million, two hundred sixty thousand, five hundred forty".