2484846000 has 960 divisors, whose sum is σ = 11237780736. Its totient is φ = 497664000.

The previous prime is 2484845999. The next prime is 2484846017. The reversal of 2484846000 is 6484842.

2484846000 is a `hidden beast` number, since 2 + 4 + 8 + 48 + 4 + 600 + 0 = 666.

2484846000 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 hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60605980 + ... + 60606020.

Almost surely, 2^2484846000 is an apocalyptic number.

2484846000 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 2484846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618890368).

2484846000 is an abundant number, since it is smaller than the sum of its proper divisors (8752934736).

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

2484846000 is a wasteful number, since it uses less digits than its factorization.

2484846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2484846000 is about 49848.2296576318. The cubic root of 2484846000 is about 1354.4609630455.

The spelling of 2484846000 in words is "two billion, four hundred eighty-four million, eight hundred forty-six thousand".