2801353464 has 384 divisors, whose sum is σ = 10154304000. Its totient is φ = 698720256.

The previous prime is 2801353439. The next prime is 2801353469. The reversal of 2801353464 is 4643531082.

2801353464 is a `hidden beast` number, since 280 + 1 + 35 + 346 + 4 = 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 (2801353469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4854744 + ... + 4855320.

It is an arithmetic number, because the mean of its divisors is an integer number (26443500).

Almost surely, 2^2801353464 is an apocalyptic number.

2801353464 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 2801353464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077152000).

2801353464 is an abundant number, since it is smaller than the sum of its proper divisors (7352950536).

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

2801353464 is a wasteful number, since it uses less digits than its factorization.

2801353464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 621 counting only the distinct ones).

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

The square root of 2801353464 is about 52927.8137088620. The cubic root of 2801353464 is about 1409.6868113814.

The spelling of 2801353464 in words is "two billion, eight hundred one million, three hundred fifty-three thousand, four hundred sixty-four".