2053165464 has 144 divisors (see below), whose sum is σ = 6677536320. Its totient is φ = 567665280.

The previous prime is 2053165427. The next prime is 2053165469. The reversal of 2053165464 is 4645613502.

2053165464 is a `hidden beast` number, since 2 + 0 + 531 + 65 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053165469) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99982 + ... + 118754.

It is an arithmetic number, because the mean of its divisors is an integer number (46371780).

Almost surely, 2^2053165464 is an apocalyptic number.

2053165464 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 2053165464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338768160).

2053165464 is an abundant number, since it is smaller than the sum of its proper divisors (4624370856).

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

2053165464 is a wasteful number, since it uses less digits than its factorization.

2053165464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18830 (or 18816 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2053165464 is about 45311.8689087087. The cubic root of 2053165464 is about 1270.9876096609.

Adding to 2053165464 its reverse (4645613502), we get a palindrome (6698778966).

The spelling of 2053165464 in words is "two billion, fifty-three million, one hundred sixty-five thousand, four hundred sixty-four".