2484849623040 has 1200 divisors, whose sum is σ = 9491747958000. Its totient is φ = 620702466048.

The previous prime is 2484849623021. The next prime is 2484849623089. The reversal of 2484849623040 is 403269484842.

It is a happy number.

2484849623040 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 8 + 4 + 9 + 623 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 203928109056 + 2280921513984 = 451584^2 + 1510272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7119912786 + ... + 7119913134.

It is an arithmetic number, because the mean of its divisors is an integer number (7909789965).

Almost surely, 2^{2484849623040} is an apocalyptic number.

2484849623040 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 2484849623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745873979000).

2484849623040 is an abundant number, since it is smaller than the sum of its proper divisors (7006898334960).

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

2484849623040 is an equidigital number, since it uses as much as digits as its factorization.

2484849623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 2484849623040 in words is "two trillion, four hundred eighty-four billion, eight hundred forty-nine million, six hundred twenty-three thousand, forty".