1540334208 has 192 divisors, whose sum is σ = 4830736320. Its totient is φ = 433520640.

The previous prime is 1540334197. The next prime is 1540334281. The reversal of 1540334208 is 8024330451.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335360 + ... + 1336512.

It is an arithmetic number, because the mean of its divisors is an integer number (25160085).

Almost surely, 2^1540334208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415368160).

1540334208 is an abundant number, since it is smaller than the sum of its proper divisors (3290402112).

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

1540334208 is a wasteful number, since it uses less digits than its factorization.

1540334208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1540334208 is about 39247.0917139092. The cubic root of 1540334208 is about 1154.8838818067.

Adding to 1540334208 its reverse (8024330451), we get a palindrome (9564664659).

The spelling of 1540334208 in words is "one billion, five hundred forty million, three hundred thirty-four thousand, two hundred eight".