2241761280 has 416 divisors, whose sum is σ = 8152731648. Its totient is φ = 521011200.

The previous prime is 2241761273. The next prime is 2241761293. The reversal of 2241761280 is 821671422.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 20950987 + ... + 20951093.

Almost surely, 2^2241761280 is an apocalyptic number.

2241761280 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 2241761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076365824).

2241761280 is an abundant number, since it is smaller than the sum of its proper divisors (5910970368).

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

2241761280 is a wasteful number, since it uses less digits than its factorization.

2241761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2241761280 is about 47347.2415247182. The cubic root of 2241761280 is about 1308.7693665951.

It can be divided in two parts, 224176 and 1280, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 2241761280 in words is "two billion, two hundred forty-one million, seven hundred sixty-one thousand, two hundred eighty".