1540530264 has 128 divisors (see below), whose sum is σ = 4751792640. Its totient is φ = 405292032.

The previous prime is 1540530223. The next prime is 1540530283. The reversal of 1540530264 is 4620350451.

It is a congruent number.

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, 1403764 + ... + 1404860.

It is an arithmetic number, because the mean of its divisors is an integer number (37123380).

Almost surely, 2^1540530264 is an apocalyptic number.

1540530264 is a gapful number since it is divisible by the number (14) 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 1540530264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375896320).

1540530264 is an abundant number, since it is smaller than the sum of its proper divisors (3211262376).

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

1540530264 is a wasteful number, since it uses less digits than its factorization.

1540530264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1540530264 is about 39249.5893481703. The cubic root of 1540530264 is about 1154.9328781668.

The spelling of 1540530264 in words is "one billion, five hundred forty million, five hundred thirty thousand, two hundred sixty-four".