1541642880 has 256 divisors, whose sum is σ = 5118474240. Its totient is φ = 394383360.

The previous prime is 1541642867. The next prime is 1541642899. The reversal of 1541642880 is 882461451.

1541642880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1541642880³ (a number of 29 digits) contains 333 as substring.

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, 5861629 + ... + 5861891.

It is an arithmetic number, because the mean of its divisors is an integer number (19994040).

Almost surely, 2^1541642880 is an apocalyptic number.

1541642880 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 1541642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559237120).

1541642880 is an abundant number, since it is smaller than the sum of its proper divisors (3576831360).

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

1541642880 is a wasteful number, since it uses less digits than its factorization.

1541642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1541642880 is about 39263.7603904669. The cubic root of 1541642880 is about 1155.2108533548.

The spelling of 1541642880 in words is "one billion, five hundred forty-one million, six hundred forty-two thousand, eight hundred eighty".