1540252320 has 48 divisors (see below), whose sum is σ = 4851796320. Its totient is φ = 410733824.

The previous prime is 1540252319. The next prime is 1540252327. The reversal of 1540252320 is 232520451.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1540252327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1603950 + ... + 1604909.

It is an arithmetic number, because the mean of its divisors is an integer number (101079090).

Almost surely, 2^1540252320 is an apocalyptic number.

1540252320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540252320 is an abundant number, since it is smaller than the sum of its proper divisors (3311544000).

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

1540252320 is a wasteful number, since it uses less digits than its factorization.

1540252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208877 (or 3208869 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1540252320 is about 39246.0484635078. The cubic root of 1540252320 is about 1154.8634159435.

Adding to 1540252320 its reverse (232520451), we get a palindrome (1772772771).

The spelling of 1540252320 in words is "one billion, five hundred forty million, two hundred fifty-two thousand, three hundred twenty".