2481354000 has 600 divisors, whose sum is σ = 9700716168. Its totient is φ = 611020800.

The previous prime is 2481353981. The next prime is 2481354013. The reversal of 2481354000 is 4531842.

2481354000 is a `hidden beast` number, since 248 + 13 + 5 + 400 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 764411904 + 1716942096 = 27648^2 + 41436^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46817974 + ... + 46818026.

Almost surely, 2^2481354000 is an apocalyptic number.

2481354000 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 2481354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850358084).

2481354000 is an abundant number, since it is smaller than the sum of its proper divisors (7219362168).

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

2481354000 is a wasteful number, since it uses less digits than its factorization.

2481354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2481354000 is about 49813.1910240651. The cubic root of 2481354000 is about 1353.8261825897.

Adding to 2481354000 its reverse (4531842), we get a palindrome (2485885842).

The spelling of 2481354000 in words is "two billion, four hundred eighty-one million, three hundred fifty-four thousand".