2467842048 has 288 divisors, whose sum is σ = 8422202880. Its totient is φ = 681246720.

The previous prime is 2467842031. The next prime is 2467842089. The reversal of 2467842048 is 8402487642.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2467841994 and 2467842012.

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, 3999436 + ... + 4000052.

It is an arithmetic number, because the mean of its divisors is an integer number (29243760).

Almost surely, 2^2467842048 is an apocalyptic number.

2467842048 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 2467842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211101440).

2467842048 is an abundant number, since it is smaller than the sum of its proper divisors (5954360832).

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

2467842048 is a wasteful number, since it uses less digits than its factorization.

2467842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2467842048 is about 49677.3796410398. The cubic root of 2467842048 is about 1351.3643359377.

It can be divided in two parts, 246784 and 2048, that added together give a 5-th power (248832 = 12⁵).

The spelling of 2467842048 in words is "two billion, four hundred sixty-seven million, eight hundred forty-two thousand, forty-eight".