2461400870544 has 480 divisors, whose sum is σ = 8673007749120. Its totient is φ = 633041049600.

The previous prime is 2461400870491. The next prime is 2461400870563. The reversal of 2461400870544 is 4450780041642.

2461400870544 is a `hidden beast` number, since 2 + 4 + 61 + 40 + 0 + 8 + 7 + 0 + 544 = 666.

2461400870544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2461400870544² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2461400870544.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666863739 + ... + 666867429.

It is an arithmetic number, because the mean of its divisors is an integer number (18068766144).

Almost surely, 2^{2461400870544} is an apocalyptic number.

2461400870544 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 2461400870544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336503874560).

2461400870544 is an abundant number, since it is smaller than the sum of its proper divisors (6211606878576).

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

2461400870544 is a wasteful number, since it uses less digits than its factorization.

2461400870544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2461400870544 in words is "two trillion, four hundred sixty-one billion, four hundred million, eight hundred seventy thousand, five hundred forty-four".