214781005740 has 384 divisors, whose sum is σ = 751951872000. Its totient is φ = 44698936320.

The previous prime is 214781005727. The next prime is 214781005741. The reversal of 214781005740 is 47500187412.

It is a super-2 number, since 2×214781005740² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214781005741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36856707 + ... + 36862533.

It is an arithmetic number, because the mean of its divisors is an integer number (1958208000).

Almost surely, 2^214781005740 is an apocalyptic number.

214781005740 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 214781005740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375975936000).

214781005740 is an abundant number, since it is smaller than the sum of its proper divisors (537170866260).

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

214781005740 is a wasteful number, since it uses less digits than its factorization.

214781005740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 214781005740 in words is "two hundred fourteen billion, seven hundred eighty-one million, five thousand, seven hundred forty".