2123953920 has 576 divisors, whose sum is σ = 8500423680. Its totient is φ = 497664000.

The previous prime is 2123953913. The next prime is 2123953961. The reversal of 2123953920 is 293593212.

2123953920 is a `hidden beast` number, since 212 + 395 + 39 + 20 = 666.

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

It is a super-2 number, since 2×2123953920² = 9022360508566732800, 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 63 ways as a sum of consecutive naturals, for example, 14065845 + ... + 14065995.

It is an arithmetic number, because the mean of its divisors is an integer number (14757680).

Almost surely, 2^2123953920 is an apocalyptic number.

2123953920 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 2123953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250211840).

2123953920 is an abundant number, since it is smaller than the sum of its proper divisors (6376469760).

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

2123953920 is a wasteful number, since it uses less digits than its factorization.

2123953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2123953920 is about 46086.3745590820. The cubic root of 2123953920 is about 1285.4297986441.

The spelling of 2123953920 in words is "two billion, one hundred twenty-three million, nine hundred fifty-three thousand, nine hundred twenty".