2461262080 has 72 divisors (see below), whose sum is σ = 5966779392. Its totient is φ = 972601344.

The previous prime is 2461262077. The next prime is 2461262119. The reversal of 2461262080 is 802621642.

It is a super-2 number, since 2×2461262080² = 12115622052891852800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94657 + ... + 117823.

It is an arithmetic number, because the mean of its divisors is an integer number (82871936).

Almost surely, 2^2461262080 is an apocalyptic number.

2461262080 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 2461262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983389696).

2461262080 is an abundant number, since it is smaller than the sum of its proper divisors (3505517312).

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

2461262080 is an equidigital number, since it uses as much as digits as its factorization.

2461262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23271 (or 23257 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2461262080 is about 49611.1084334950. The cubic root of 2461262080 is about 1350.1622265039.

The spelling of 2461262080 in words is "two billion, four hundred sixty-one million, two hundred sixty-two thousand, eighty".