2411282880 has 168 divisors, whose sum is σ = 8321040000. Its totient is φ = 640899072.

The previous prime is 2411282879. The next prime is 2411282893. The reversal of 2411282880 is 882821142.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003921 + ... + 1006319.

It is an arithmetic number, because the mean of its divisors is an integer number (49530000).

Almost surely, 2^2411282880 is an apocalyptic number.

2411282880 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 2411282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160520000).

2411282880 is an abundant number, since it is smaller than the sum of its proper divisors (5909757120).

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

2411282880 is a wasteful number, since it uses less digits than its factorization.

2411282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2411282880 is about 49104.8152424994. The cubic root of 2411282880 is about 1340.9607129977.

The spelling of 2411282880 in words is "two billion, four hundred eleven million, two hundred eighty-two thousand, eight hundred eighty".