1921242960 has 720 divisors, whose sum is σ = 8335716480. Its totient is φ = 392878080.

The previous prime is 1921242943. The next prime is 1921242971. The reversal of 1921242960 is 692421291.

1921242960 is a `hidden beast` number, since 19 + 212 + 429 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1921242960² = 7382349022699123200, 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27059725 + ... + 27059795.

It is an arithmetic number, because the mean of its divisors is an integer number (11577384).

Almost surely, 2^1921242960 is an apocalyptic number.

1921242960 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 1921242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167858240).

1921242960 is an abundant number, since it is smaller than the sum of its proper divisors (6414473520).

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

1921242960 is a wasteful number, since it uses less digits than its factorization.

1921242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1921242960 is about 43831.9855813081. The cubic root of 1921242960 is about 1243.1611504782.

The spelling of 1921242960 in words is "one billion, nine hundred twenty-one million, two hundred forty-two thousand, nine hundred sixty".