2401683552 has 144 divisors (see below), whose sum is σ = 7262263008. Its totient is φ = 751196160.

The previous prime is 2401683523. The next prime is 2401683563. The reversal of 2401683552 is 2553861042.

2401683552 is a `hidden beast` number, since 2 + 40 + 1 + 68 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 347652 + ... + 354492.

It is an arithmetic number, because the mean of its divisors is an integer number (50432382).

Almost surely, 2^2401683552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401683552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631131504).

2401683552 is an abundant number, since it is smaller than the sum of its proper divisors (4860579456).

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

2401683552 is a wasteful number, since it uses less digits than its factorization.

2401683552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2401683552 is about 49006.9745240410. The cubic root of 2401683552 is about 1339.1788895410.

The spelling of 2401683552 in words is "two billion, four hundred one million, six hundred eighty-three thousand, five hundred fifty-two".