2382901248 has 208 divisors, whose sum is σ = 7823518976. Its totient is φ = 628162560.

The previous prime is 2382901193. The next prime is 2382901307. The reversal of 2382901248 is 8421092832.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117143 + ... + 1119273.

It is an arithmetic number, because the mean of its divisors is an integer number (37613072).

Almost surely, 2^2382901248 is an apocalyptic number.

2382901248 is a gapful number since it is divisible by the number (28) 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 2382901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911759488).

2382901248 is an abundant number, since it is smaller than the sum of its proper divisors (5440617728).

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

2382901248 is a wasteful number, since it uses less digits than its factorization.

2382901248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2382901248 is about 48814.9695073140. The cubic root of 2382901248 is about 1335.6787447537.

The spelling of 2382901248 in words is "two billion, three hundred eighty-two million, nine hundred one thousand, two hundred forty-eight".