2405633861280 has 192 divisors, whose sum is σ = 8192409216768. Its totient is φ = 589851525120.

The previous prime is 2405633861273. The next prime is 2405633861321. The reversal of 2405633861280 is 821683365042.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853645 + ... + 2353715.

It is an arithmetic number, because the mean of its divisors is an integer number (42668798004).

Almost surely, 2^{2405633861280} is an apocalyptic number.

2405633861280 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 2405633861280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096204608384).

2405633861280 is an abundant number, since it is smaller than the sum of its proper divisors (5786775355488).

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

2405633861280 is a wasteful number, since it uses less digits than its factorization.

2405633861280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500359 (or 1500351 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 2405633861280 in words is "two trillion, four hundred five billion, six hundred thirty-three million, eight hundred sixty-one thousand, two hundred eighty".