2379241928448 has 1152 divisors, whose sum is σ = 9484683264000. Its totient is φ = 569546588160.

The previous prime is 2379241928447. The next prime is 2379241928533. The reversal of 2379241928448 is 8448291429732.

It is a happy number.

2379241928448 is a `hidden beast` number, since 2 + 3 + 79 + 241 + 9 + 284 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2379241928443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 374150293 + ... + 374156651.

It is an arithmetic number, because the mean of its divisors is an integer number (8233232000).

Almost surely, 2^{2379241928448} is an apocalyptic number.

2379241928448 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 2379241928448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742341632000).

2379241928448 is an abundant number, since it is smaller than the sum of its proper divisors (7105441335552).

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

2379241928448 is a wasteful number, since it uses less digits than its factorization.

2379241928448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6438 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 2379241928448 in words is "two trillion, three hundred seventy-nine billion, two hundred forty-one million, nine hundred twenty-eight thousand, four hundred forty-eight".