2461452341600 has 288 divisors, whose sum is σ = 6914662433280. Its totient is φ = 838137692160.

The previous prime is 2461452341597. The next prime is 2461452341629. The reversal of 2461452341600 is 61432541642.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1450471952 + ... + 1450473648.

It is an arithmetic number, because the mean of its divisors is an integer number (24009244560).

Almost surely, 2^{2461452341600} is an apocalyptic number.

2461452341600 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 2461452341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457331216640).

2461452341600 is an abundant number, since it is smaller than the sum of its proper divisors (4453210091680).

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

2461452341600 is a wasteful number, since it uses less digits than its factorization.

2461452341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 2461452341600 in words is "two trillion, four hundred sixty-one billion, four hundred fifty-two million, three hundred forty-one thousand, six hundred".