2461402944000 has 2560 divisors, whose sum is σ = 12217138053120. Its totient is φ = 471785472000.

The previous prime is 2461402943959. The next prime is 2461402944001. The reversal of 2461402944000 is 4492041642.

It is a happy number.

2461402944000 is a `hidden beast` number, since 24 + 6 + 140 + 2 + 94 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is not an unprimeable number, because it can be changed into a prime (2461402944001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1729727289 + ... + 1729728711.

It is an arithmetic number, because the mean of its divisors is an integer number (4772319552).

Almost surely, 2^{2461402944000} is an apocalyptic number.

2461402944000 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 2461402944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108569026560).

2461402944000 is an abundant number, since it is smaller than the sum of its proper divisors (9755735109120).

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

2461402944000 is a wasteful number, since it uses less digits than its factorization.

2461402944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 2461402944000 its reverse (4492041642), we get a palindrome (2465894985642).

The spelling of 2461402944000 in words is "two trillion, four hundred sixty-one billion, four hundred two million, nine hundred forty-four thousand".