1901410560 has 864 divisors, whose sum is σ = 8494536960. Its totient is φ = 382205952.

The previous prime is 1901410531. The next prime is 1901410561. The reversal of 1901410560 is 650141091.

1901410560 is a `hidden beast` number, since 1 + 90 + 1 + 4 + 10 + 560 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901410561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26046684 + ... + 26046756.

It is an arithmetic number, because the mean of its divisors is an integer number (9831640).

Almost surely, 2^1901410560 is an apocalyptic number.

1901410560 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 1901410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247268480).

1901410560 is an abundant number, since it is smaller than the sum of its proper divisors (6593126400).

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

1901410560 is a wasteful number, since it uses less digits than its factorization.

1901410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1901410560 is about 43605.1666663482. The cubic root of 1901410560 is about 1238.8687567034.

The spelling of 1901410560 in words is "one billion, nine hundred one million, four hundred ten thousand, five hundred sixty".