2214761274240 has 256 divisors, whose sum is σ = 7108463232000. Its totient is φ = 586516930560.

The previous prime is 2214761274239. The next prime is 2214761274259. The reversal of 2214761274240 is 424721674122.

It is a junction number, because it is equal to n+sod(n) for n = 2214761274192 and 2214761274201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609957225 + ... + 609960855.

It is an arithmetic number, because the mean of its divisors is an integer number (27767434500).

Almost surely, 2^{2214761274240} is an apocalyptic number.

2214761274240 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 2214761274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554231616000).

2214761274240 is an abundant number, since it is smaller than the sum of its proper divisors (4893701957760).

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

2214761274240 is a wasteful number, since it uses less digits than its factorization.

2214761274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 2214761274240 in words is "two trillion, two hundred fourteen billion, seven hundred sixty-one million, two hundred seventy-four thousand, two hundred forty".