2053969920 has 768 divisors, whose sum is σ = 8491392000. Its totient is φ = 467140608.

The previous prime is 2053969919. The next prime is 2053969961. The reversal of 2053969920 is 299693502.

2053969920 is a `hidden beast` number, since 2 + 0 + 539 + 6 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 89303029 + ... + 89303051.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2^2053969920 is an apocalyptic number.

2053969920 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 2053969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2053969920 is an abundant number, since it is smaller than the sum of its proper divisors (6437422080).

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

2053969920 is a wasteful number, since it uses less digits than its factorization.

2053969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 2053969920 is about 45320.7449188559. The cubic root of 2053969920 is about 1271.1535842854.

The spelling of 2053969920 in words is "two billion, fifty-three million, nine hundred sixty-nine thousand, nine hundred twenty".