1290217540 has 24 divisors (see below), whose sum is σ = 2802887640. Its totient is φ = 498290688.

The previous prime is 1290217519. The next prime is 1290217543. The reversal of 1290217540 is 457120921.

It can be written as a sum of positive squares in 4 ways, for example, as 237344836 + 1052872704 = 15406^2 + 32448^2 .

It is a super-2 number, since 2×1290217540² = 3329322601047303200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1290217543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111677 + ... + 1112836.

It is an arithmetic number, because the mean of its divisors is an integer number (116786985).

Almost surely, 2^1290217540 is an apocalyptic number.

1290217540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290217540 is an abundant number, since it is smaller than the sum of its proper divisors (1512670100).

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

1290217540 is a wasteful number, since it uses less digits than its factorization.

1290217540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224551 (or 2224549 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1290217540 is about 35919.5982716956. The cubic root of 1290217540 is about 1088.6484215554.

The spelling of 1290217540 in words is "one billion, two hundred ninety million, two hundred seventeen thousand, five hundred forty".