2240114240000 has 800 divisors, whose sum is σ = 7047748498560. Its totient is φ = 692084736000.

The previous prime is 2240114239991. The next prime is 2240114240027. The reversal of 2240114240000 is 424110422.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×2240114240000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1252159106 + ... + 1252160894.

Almost surely, 2^{2240114240000} is an apocalyptic number.

2240114240000 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 2240114240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523874249280).

2240114240000 is an abundant number, since it is smaller than the sum of its proper divisors (4807634258560).

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

2240114240000 is an equidigital number, since it uses as much as digits as its factorization.

2240114240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2240114240000 its reverse (424110422), we get a palindrome (2240538350422).

The spelling of 2240114240000 in words is "two trillion, two hundred forty billion, one hundred fourteen million, two hundred forty thousand".