2162648678400 has 1440 divisors, whose sum is σ = 9276382315200. Its totient is φ = 489223618560.

The previous prime is 2162648678371. The next prime is 2162648678429. The reversal of 2162648678400 is 48768462612.

It is a happy number.

2162648678400 is a `hidden beast` number, since 2 + 1 + 626 + 4 + 8 + 6 + 7 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2162648678371) and next prime (2162648678429).

It is a tau number, because it is divible by the number of its divisors (1440).

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 71 ways as a sum of consecutive naturals, for example, 22295347152 + ... + 22295347248.

Almost surely, 2^{2162648678400} is an apocalyptic number.

2162648678400 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 2162648678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638191157600).

2162648678400 is an abundant number, since it is smaller than the sum of its proper divisors (7113733636800).

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

2162648678400 is an frugal number, since it uses more digits than its factorization.

2162648678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 114 counting only the distinct ones).

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

The spelling of 2162648678400 in words is "two trillion, one hundred sixty-two billion, six hundred forty-eight million, six hundred seventy-eight thousand, four hundred".