1540880000 has 320 divisors, whose sum is σ = 4473817920. Its totient is φ = 522240000.

The previous prime is 1540879981. The next prime is 1540880023. The reversal of 1540880000 is 880451.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1540880000² = 4748622348800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14959949 + ... + 14960051.

It is an arithmetic number, because the mean of its divisors is an integer number (13980681).

Almost surely, 2^1540880000 is an apocalyptic number.

1540880000 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 1540880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236908960).

1540880000 is an abundant number, since it is smaller than the sum of its proper divisors (2932937920).

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

1540880000 is a wasteful number, since it uses less digits than its factorization.

1540880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 1540880000 is about 39254.0443776180. The cubic root of 1540880000 is about 1155.0202703788.

The spelling of 1540880000 in words is "one billion, five hundred forty million, eight hundred eighty thousand".