2461031280 has 240 divisors, whose sum is σ = 8669284416. Its totient is φ = 624476160.

The previous prime is 2461031269. The next prime is 2461031291. The reversal of 2461031280 is 821301642.

2461031280 is a `hidden beast` number, since 24 + 610 + 3 + 1 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2461031269) and next prime (2461031291).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2461031280² = 12113349922276876800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5845470 + ... + 5845890.

Almost surely, 2^2461031280 is an apocalyptic number.

2461031280 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 2461031280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334642208).

2461031280 is an abundant number, since it is smaller than the sum of its proper divisors (6208253136).

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

2461031280 is a wasteful number, since it uses less digits than its factorization.

2461031280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2461031280 is about 49608.7822870104. The cubic root of 2461031280 is about 1350.1200222509.

The spelling of 2461031280 in words is "two billion, four hundred sixty-one million, thirty-one thousand, two hundred eighty".