2838952670400 has 6048 divisors, whose sum is σ = 15056156344320. Its totient is φ = 517321728000.

The previous prime is 2838952670339. The next prime is 2838952670413. The reversal of 2838952670400 is 40762598382.

2838952670400 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 9 + 526 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 91579118385 + ... + 91579118415.

It is an arithmetic number, because the mean of its divisors is an integer number (2489443840).

Almost surely, 2^{2838952670400} is an apocalyptic number.

2838952670400 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 2838952670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528078172160).

2838952670400 is an abundant number, since it is smaller than the sum of its proper divisors (12217203673920).

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

2838952670400 is a wasteful number, since it uses less digits than its factorization.

2838952670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2838952670400 in words is "two trillion, eight hundred thirty-eight billion, nine hundred fifty-two million, six hundred seventy thousand, four hundred".