1540971264 has 288 divisors, whose sum is σ = 4931239936. Its totient is φ = 418037760.

The previous prime is 1540971253. The next prime is 1540971293. The reversal of 1540971264 is 4621790451.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 12133569 + ... + 12133695.

Almost surely, 2^1540971264 is an apocalyptic number.

1540971264 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 1540971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465619968).

1540971264 is an abundant number, since it is smaller than the sum of its proper divisors (3390268672).

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

1540971264 is a wasteful number, since it uses less digits than its factorization.

1540971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1540971264 is about 39255.2068393481. The cubic root of 1540971264 is about 1155.0430732985.

The spelling of 1540971264 in words is "one billion, five hundred forty million, nine hundred seventy-one thousand, two hundred sixty-four".