2400686346240 has 3328 divisors, whose sum is σ = 11554735718400. Its totient is φ = 464380231680.

The previous prime is 2400686346217. The next prime is 2400686346257. The reversal of 2400686346240 is 426436860042.

2400686346240 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 6 + 8 + 634 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×2400686346240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77441495025 + ... + 77441495055.

Almost surely, 2^{2400686346240} is an apocalyptic number.

2400686346240 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 2400686346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777367859200).

2400686346240 is an abundant number, since it is smaller than the sum of its proper divisors (9154049372160).

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

2400686346240 is an equidigital number, since it uses as much as digits as its factorization.

2400686346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 2400686346240 in words is "two trillion, four hundred billion, six hundred eighty-six million, three hundred forty-six thousand, two hundred forty".