1901352960 has 576 divisors, whose sum is σ = 7608837600. Its totient is φ = 447676416.

The previous prime is 1901352931. The next prime is 1901352967. The reversal of 1901352960 is 692531091.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901352967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82667509 + ... + 82667531.

Almost surely, 2^1901352960 is an apocalyptic number.

1901352960 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 1901352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804418800).

1901352960 is an abundant number, since it is smaller than the sum of its proper divisors (5707484640).

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

1901352960 is a wasteful number, since it uses less digits than its factorization.

1901352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1901352960 is about 43604.5061891543. The cubic root of 1901352960 is about 1238.8562467695.

The spelling of 1901352960 in words is "one billion, nine hundred one million, three hundred fifty-two thousand, nine hundred sixty".