2464204181040 has 800 divisors, whose sum is σ = 10532289461760. Its totient is φ = 521119899648.

The previous prime is 2464204180993. The next prime is 2464204181059. The reversal of 2464204181040 is 401814024642.

2464204181040 is a `hidden beast` number, since 2 + 4 + 642 + 0 + 4 + 1 + 8 + 1 + 0 + 4 + 0 = 666.

2464204181040 is digitally balanced in base 2, because in such base 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 junction number, because it is equal to n+sod(n) for n = 2464204180986 and 2464204181004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45468999 + ... + 45523161.

Almost surely, 2^{2464204181040} is an apocalyptic number.

2464204181040 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 2464204181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266144730880).

2464204181040 is an abundant number, since it is smaller than the sum of its proper divisors (8068085280720).

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

2464204181040 is a wasteful number, since it uses less digits than its factorization.

2464204181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54271 (or 54256 counting only the distinct ones).

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

The spelling of 2464204181040 in words is "two trillion, four hundred sixty-four billion, two hundred four million, one hundred eighty-one thousand, forty".