2353164480 has 448 divisors, whose sum is σ = 9048170880. Its totient is φ = 573308928.

The previous prime is 2353164469. The next prime is 2353164491. The reversal of 2353164480 is 844613532.

2353164480 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 1 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2353164469) and next prime (2353164491).

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

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, 5434344 + ... + 5434776.

It is an arithmetic number, because the mean of its divisors is an integer number (20196810).

Almost surely, 2^2353164480 is an apocalyptic number.

2353164480 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 2353164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524085440).

2353164480 is an abundant number, since it is smaller than the sum of its proper divisors (6695006400).

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

2353164480 is a wasteful number, since it uses less digits than its factorization.

2353164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2353164480 is about 48509.4267127535. The cubic root of 2353164480 is about 1330.0993914454.

The spelling of 2353164480 in words is "two billion, three hundred fifty-three million, one hundred sixty-four thousand, four hundred eighty".