2481270624 has 576 divisors, whose sum is σ = 9101030400. Its totient is φ = 654345216.

The previous prime is 2481270619. The next prime is 2481270643. The reversal of 2481270624 is 4260721842.

2481270624 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 27 + 0 + 624 = 666.

2481270624 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52792969 + ... + 52793015.

It is an arithmetic number, because the mean of its divisors is an integer number (15800400).

Almost surely, 2^2481270624 is an apocalyptic number.

2481270624 is a gapful number since it is divisible by the number (24) 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 2481270624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550515200).

2481270624 is an abundant number, since it is smaller than the sum of its proper divisors (6619759776).

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

2481270624 is a wasteful number, since it uses less digits than its factorization.

2481270624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2481270624 is about 49812.3541302758. The cubic root of 2481270624 is about 1353.8110191110.

The spelling of 2481270624 in words is "two billion, four hundred eighty-one million, two hundred seventy thousand, six hundred twenty-four".