2053436400 has 240 divisors, whose sum is σ = 7694150400. Its totient is φ = 518711040.

The previous prime is 2053436393. The next prime is 2053436401. The reversal of 2053436400 is 46343502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053436401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200197 + ... + 210203.

It is an arithmetic number, because the mean of its divisors is an integer number (32058960).

Almost surely, 2^2053436400 is an apocalyptic number.

2053436400 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 2053436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847075200).

2053436400 is an abundant number, since it is smaller than the sum of its proper divisors (5640714000).

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

2053436400 is a wasteful number, since it uses less digits than its factorization.

2053436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10053 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2053436400 is about 45314.8584903451. The cubic root of 2053436400 is about 1271.0435137691.

Adding to 2053436400 its reverse (46343502), we get a palindrome (2099779902).

The spelling of 2053436400 in words is "two billion, fifty-three million, four hundred thirty-six thousand, four hundred".