2461122048 has 160 divisors (see below), whose sum is σ = 8174833920. Its totient is φ = 639221760.

The previous prime is 2461122031. The next prime is 2461122077. The reversal of 2461122048 is 8402211642.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107868 + ... + 128676.

It is an arithmetic number, because the mean of its divisors is an integer number (51092712).

Almost surely, 2^2461122048 is an apocalyptic number.

2461122048 is a gapful number since it is divisible by the number (28) 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 2461122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087416960).

2461122048 is an abundant number, since it is smaller than the sum of its proper divisors (5713711872).

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

2461122048 is a wasteful number, since it uses less digits than its factorization.

2461122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20848 (or 20832 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2461122048 is about 49609.6971165920. The cubic root of 2461122048 is about 1350.1366204670.

It can be divided in two parts, 246112 and 2048, that added together give a triangular number (248160 = T₇₀₄).

The spelling of 2461122048 in words is "two billion, four hundred sixty-one million, one hundred twenty-two thousand, forty-eight".