2156073920 has 448 divisors, whose sum is σ = 7078772736. Its totient is φ = 603832320.

The previous prime is 2156073919. The next prime is 2156073937. The reversal of 2156073920 is 293706512.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16976897 + ... + 16977023.

It is an arithmetic number, because the mean of its divisors is an integer number (15800832).

Almost surely, 2^2156073920 is an apocalyptic number.

2156073920 is a gapful number since it is divisible by the number (20) 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 2156073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539386368).

2156073920 is an abundant number, since it is smaller than the sum of its proper divisors (4922698816).

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

2156073920 is a wasteful number, since it uses less digits than its factorization.

2156073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 2156073920 is about 46433.5430481026. The cubic root of 2156073920 is about 1291.8771461557.

The spelling of 2156073920 in words is "two billion, one hundred fifty-six million, seventy-three thousand, nine hundred twenty".