2126314290240 has 448 divisors, whose sum is σ = 8576103467520. Its totient is φ = 485825126400.

The previous prime is 2126314290211. The next prime is 2126314290257. The reversal of 2126314290240 is 420924136212.

It is a happy number.

2126314290240 is a `hidden beast` number, since 2 + 12 + 6 + 314 + 2 + 90 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×2126314290240³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2126314290195 and 2126314290204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206413090 + ... + 206423390.

Almost surely, 2^{2126314290240} is an apocalyptic number.

2126314290240 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 2126314290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288051733760).

2126314290240 is an abundant number, since it is smaller than the sum of its proper divisors (6449789177280).

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

2126314290240 is a wasteful number, since it uses less digits than its factorization.

2126314290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13747 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2126314290240 in words is "two trillion, one hundred twenty-six billion, three hundred fourteen million, two hundred ninety thousand, two hundred forty".