2838390950400 has 240 divisors, whose sum is σ = 9678917200128. Its totient is φ = 732487680000.

The previous prime is 2838390950383. The next prime is 2838390950413. The reversal of 2838390950400 is 40590938382.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801 + ... + 2382600.

Almost surely, 2^{2838390950400} is an apocalyptic number.

2838390950400 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 2838390950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839458600064).

2838390950400 is an abundant number, since it is smaller than the sum of its proper divisors (6840526249728).

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

2838390950400 is a wasteful number, since it uses less digits than its factorization.

2838390950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384463 (or 2384442 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 2838390950400 in words is "two trillion, eight hundred thirty-eight billion, three hundred ninety million, nine hundred fifty thousand, four hundred".