2122053504 has 64 divisors (see below), whose sum is σ = 5651171280. Its totient is φ = 705536000.

The previous prime is 2122053491. The next prime is 2122053517. The reversal of 2122053504 is 4053502212.

It is an interprime number because it is at equal distance from previous prime (2122053491) and next prime (2122053517).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2122053504² = 9006222147677356032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147094 + ... + 160874.

Almost surely, 2^2122053504 is an apocalyptic number.

2122053504 is a gapful number since it is divisible by the number (24) 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 2122053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825585640).

2122053504 is an abundant number, since it is smaller than the sum of its proper divisors (3529117776).

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

2122053504 is a wasteful number, since it uses less digits than its factorization.

2122053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14199 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2122053504 is about 46065.7519639048. The cubic root of 2122053504 is about 1285.0463031456.

Adding to 2122053504 its reverse (4053502212), we get a palindrome (6175555716).

The spelling of 2122053504 in words is "two billion, one hundred twenty-two million, fifty-three thousand, five hundred four".