2261081480000 has 210 divisors, whose sum is σ = 6522140173626. Its totient is φ = 775227264000.

The previous prime is 2261081479973. The next prime is 2261081480023. The reversal of 2261081480000 is 841801622.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 855225446656 + 1405856033344 = 924784^2 + 1185688^2 .

It is a super-2 number, since 2×2261081480000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1383194 + ... + 2536806.

Almost surely, 2^{2261081480000} is an apocalyptic number.

2261081480000 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 2261081480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261070086813).

2261081480000 is an abundant number, since it is smaller than the sum of its proper divisors (4261058693626).

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

2261081480000 is an equidigital number, since it uses as much as digits as its factorization.

2261081480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153659 (or 1153627 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 2261081480000 in words is "two trillion, two hundred sixty-one billion, eighty-one million, four hundred eighty thousand".