2053147360 has 192 divisors, whose sum is σ = 5525065728. Its totient is φ = 720192000.

The previous prime is 2053147357. The next prime is 2053147367. The reversal of 2053147360 is 637413502.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053147367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6601605 + ... + 6601915.

It is an arithmetic number, because the mean of its divisors is an integer number (28776384).

Almost surely, 2^2053147360 is an apocalyptic number.

2053147360 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 2053147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762532864).

2053147360 is an abundant number, since it is smaller than the sum of its proper divisors (3471918368).

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

2053147360 is a wasteful number, since it uses less digits than its factorization.

2053147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 2053147360 is about 45311.6691372101. The cubic root of 2053147360 is about 1270.9838739614.

The spelling of 2053147360 in words is "two billion, fifty-three million, one hundred forty-seven thousand, three hundred sixty".