2351388480 has 448 divisors, whose sum is σ = 8987942400. Its totient is φ = 520224768.

The previous prime is 2351388461. The next prime is 2351388497. The reversal of 2351388480 is 848831532.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12183264 + ... + 12183456.

Almost surely, 2^2351388480 is an apocalyptic number.

2351388480 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 2351388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493971200).

2351388480 is an abundant number, since it is smaller than the sum of its proper divisors (6636553920).

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

2351388480 is a wasteful number, since it uses less digits than its factorization.

2351388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2351388480 is about 48491.1175371325. The cubic root of 2351388480 is about 1329.7646859773.

The spelling of 2351388480 in words is "two billion, three hundred fifty-one million, three hundred eighty-eight thousand, four hundred eighty".