1506141240 has 256 divisors, whose sum is σ = 4844689920. Its totient is φ = 374077440.

The previous prime is 1506141233. The next prime is 1506141253. The reversal of 1506141240 is 421416051.

It is a happy number.

It is a super-2 number, since 2×1506141240² = 4536922869657475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1506141240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18146239 + ... + 18146321.

It is an arithmetic number, because the mean of its divisors is an integer number (18924570).

Almost surely, 2^1506141240 is an apocalyptic number.

1506141240 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 1506141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422344960).

1506141240 is an abundant number, since it is smaller than the sum of its proper divisors (3338548680).

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

1506141240 is a wasteful number, since it uses less digits than its factorization.

1506141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1506141240 is about 38809.0355458623. The cubic root of 1506141240 is about 1146.2743298252.

Adding to 1506141240 its reverse (421416051), we get a palindrome (1927557291).

The spelling of 1506141240 in words is "one billion, five hundred six million, one hundred forty-one thousand, two hundred forty".