1902120960 has 208 divisors, whose sum is σ = 6175882944. Its totient is φ = 499777536.

The previous prime is 1902120947. The next prime is 1902120967. The reversal of 1902120960 is 690212091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1902120967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5099334 + ... + 5099706.

Almost surely, 2^1902120960 is an apocalyptic number.

1902120960 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 1902120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087941472).

1902120960 is an abundant number, since it is smaller than the sum of its proper divisors (4273761984).

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

1902120960 is an equidigital number, since it uses as much as digits as its factorization.

1902120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1902120960 is about 43613.3117293333. The cubic root of 1902120960 is about 1239.0230251186.

The spelling of 1902120960 in words is "one billion, nine hundred two million, one hundred twenty thousand, nine hundred sixty".