10212402240 has 140 divisors (see below), whose sum is σ = 36327403596. Its totient is φ = 2723300352.

The previous prime is 10212402181. The next prime is 10212402257. The reversal of 10212402240 is 4220421201.

10212402240 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 402 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1275346944 + 8937055296 = 35712^2 + 94536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171079 + ... + 222918.

Almost surely, 2^10212402240 is an apocalyptic number.

10212402240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212402240 is an abundant number, since it is smaller than the sum of its proper divisors (26115001356).

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

10212402240 is an equidigital number, since it uses as much as digits as its factorization.

10212402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394026 (or 394007 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10212402240 its reverse (4220421201), we get a palindrome (14432823441).

The spelling of 10212402240 in words is "ten billion, two hundred twelve million, four hundred two thousand, two hundred forty".