1012260240 has 280 divisors, whose sum is σ = 3739870008. Its totient is φ = 253808640.

The previous prime is 1012260239. The next prime is 1012260241. The reversal of 1012260240 is 420622101.

1012260240 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 602 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1012260239) and next prime (1012260241).

It can be written as a sum of positive squares in 4 ways, for example, as 241864704 + 770395536 = 15552^2 + 27756^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1012260241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 990930 + ... + 991950.

Almost surely, 2^1012260240 is an apocalyptic number.

1012260240 is a gapful number since it is divisible by the number (10) 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 1012260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869935004).

1012260240 is an abundant number, since it is smaller than the sum of its proper divisors (2727609768).

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

1012260240 is a wasteful number, since it uses less digits than its factorization.

1012260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1012260240 is about 31816.0374654041. The cubic root of 1012260240 is about 1004.0701580048.

Adding to 1012260240 its reverse (420622101), we get a palindrome (1432882341).

The spelling of 1012260240 in words is "one billion, twelve million, two hundred sixty thousand, two hundred forty".