210142240 has 192 divisors, whose sum is σ = 637072128. Its totient is φ = 63590400.

The previous prime is 210142213. The next prime is 210142271. The reversal of 210142240 is 42241012.

It is a super-2 number, since 2×210142240² = 88319522064435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 455610 + ... + 456070.

It is an arithmetic number, because the mean of its divisors is an integer number (3318084).

Almost surely, 2^210142240 is an apocalyptic number.

210142240 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 210142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318536064).

210142240 is an abundant number, since it is smaller than the sum of its proper divisors (426929888).

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

210142240 is a wasteful number, since it uses less digits than its factorization.

210142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 210142240 is about 14496.2836616838. The cubic root of 210142240 is about 594.5263655372.

Adding to 210142240 its reverse (42241012), we get a palindrome (252383252).

The spelling of 210142240 in words is "two hundred ten million, one hundred forty-two thousand, two hundred forty".