2842540646400 has 2520 divisors, whose sum is σ = 13240584306180. Its totient is φ = 597515304960.

The previous prime is 2842540646381. The next prime is 2842540646483. The reversal of 2842540646400 is 46460452482.

2842540646400 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 540 + 64 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 96387895296 + 2746152751104 = 310464^2 + 1657152^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-4 number, since 4×2842540646400⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 10567065466 + ... + 10567065734.

Almost surely, 2^{2842540646400} is an apocalyptic number.

2842540646400 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 2842540646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620292153090).

2842540646400 is an abundant number, since it is smaller than the sum of its proper divisors (10398043659780).

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

2842540646400 is a wasteful number, since it uses less digits than its factorization.

2842540646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 2842540646400 in words is "two trillion, eight hundred forty-two billion, five hundred forty million, six hundred forty-six thousand, four hundred".