2426688015360 has 704 divisors, whose sum is σ = 9182046781440. Its totient is φ = 535285923840.

The previous prime is 2426688015343. The next prime is 2426688015377. The reversal of 2426688015360 is 635108866242.

It is an interprime number because it is at equal distance from previous prime (2426688015343) and next prime (2426688015377).

It is a super-3 number, since 3×2426688015360³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1556566261 + ... + 1556567819.

Almost surely, 2^{2426688015360} is an apocalyptic number.

2426688015360 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 2426688015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591023390720).

2426688015360 is an abundant number, since it is smaller than the sum of its proper divisors (6755358766080).

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

2426688015360 is a wasteful number, since it uses less digits than its factorization.

2426688015360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 2426688015360 in words is "two trillion, four hundred twenty-six billion, six hundred eighty-eight million, fifteen thousand, three hundred sixty".