2396728414080 has 1280 divisors, whose sum is σ = 11492254287360. Its totient is φ = 459702190080.

The previous prime is 2396728414061. The next prime is 2396728414153. The reversal of 2396728414080 is 804148276932.

2396728414080 is a `hidden beast` number, since 2 + 3 + 96 + 72 + 84 + 1 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51868747 + ... + 51914933.

It is an arithmetic number, because the mean of its divisors is an integer number (8978323662).

Almost surely, 2^{2396728414080} is an apocalyptic number.

2396728414080 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 2396728414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746127143680).

2396728414080 is an abundant number, since it is smaller than the sum of its proper divisors (9095525873280).

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

2396728414080 is a wasteful number, since it uses less digits than its factorization.

2396728414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46249 (or 46228 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2396728414080 in words is "two trillion, three hundred ninety-six billion, seven hundred twenty-eight million, four hundred fourteen thousand, eighty".