2461157904384 has 312 divisors, whose sum is σ = 7657616758272. Its totient is φ = 759395450880.

The previous prime is 2461157904379. The next prime is 2461157904391. The reversal of 2461157904384 is 4834097511642.

2461157904384 is a `hidden beast` number, since 2 + 4 + 6 + 115 + 7 + 90 + 438 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2461157904384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26237214 + ... + 26330850.

It is an arithmetic number, because the mean of its divisors is an integer number (24543643456).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2461157904384 = 4922315808768, but 3⋅2461157904384 = 7383473713152 is not.

Almost surely, 2^{2461157904384} is an apocalyptic number.

2461157904384 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 2461157904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828808379136).

2461157904384 is an abundant number, since it is smaller than the sum of its proper divisors (5196458853888).

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

2461157904384 is a wasteful number, since it uses less digits than its factorization.

2461157904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93721 (or 93696 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2461157904384 in words is "two trillion, four hundred sixty-one billion, one hundred fifty-seven million, nine hundred four thousand, three hundred eighty-four".