2481770368 has 128 divisors (see below), whose sum is σ = 6281763840. Its totient is φ = 948480000.

The previous prime is 2481770353. The next prime is 2481770387. The reversal of 2481770368 is 8630771842.

2481770368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519993 + ... + 524743.

It is an arithmetic number, because the mean of its divisors is an integer number (49076280).

Almost surely, 2^2481770368 is an apocalyptic number.

2481770368 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 2481770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140881920).

2481770368 is an abundant number, since it is smaller than the sum of its proper divisors (3799993472).

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

2481770368 is a wasteful number, since it uses less digits than its factorization.

2481770368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 2481770368 is about 49817.3701433546. The cubic root of 2481770368 is about 1353.9019017837.

The spelling of 2481770368 in words is "two billion, four hundred eighty-one million, seven hundred seventy thousand, three hundred sixty-eight".