1901095920 has 240 divisors, whose sum is σ = 6970803840. Its totient is φ = 480183552.

The previous prime is 1901095897. The next prime is 1901095921. The reversal of 1901095920 is 295901091.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1901095920² = 7228331394081292800, which contains 22 as substring.

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 (1901095921) 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, 366787 + ... + 371933.

It is an arithmetic number, because the mean of its divisors is an integer number (29045016).

Almost surely, 2^1901095920 is an apocalyptic number.

1901095920 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 1901095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485401920).

1901095920 is an abundant number, since it is smaller than the sum of its proper divisors (5069707920).

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

1901095920 is a wasteful number, since it uses less digits than its factorization.

1901095920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 1901095920 is about 43601.5586877350. The cubic root of 1901095920 is about 1238.8004181101.

The spelling of 1901095920 in words is "one billion, nine hundred one million, ninety-five thousand, nine hundred twenty".