2401839474048 has 576 divisors, whose sum is σ = 8424057208320. Its totient is φ = 643320299520.

The previous prime is 2401839474017. The next prime is 2401839474049. The reversal of 2401839474048 is 8404749381042.

2401839474048 is a `hidden beast` number, since 2 + 401 + 83 + 94 + 74 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 2401839473985 and 2401839474003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401839474049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631562515 + ... + 631566317.

It is an arithmetic number, because the mean of its divisors is an integer number (14625099320).

Almost surely, 2^{2401839474048} is an apocalyptic number.

2401839474048 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 2401839474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212028604160).

2401839474048 is an abundant number, since it is smaller than the sum of its proper divisors (6022217734272).

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

2401839474048 is a wasteful number, since it uses less digits than its factorization.

2401839474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2401839474048 in words is "two trillion, four hundred one billion, eight hundred thirty-nine million, four hundred seventy-four thousand, forty-eight".