2162688000000 has 644 divisors, whose sum is σ = 7864218399216. Its totient is φ = 524288000000.

The previous prime is 2162687999957. The next prime is 2162688000013. The reversal of 2162688000000 is 8862612.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 196607999995 + ... + 196608000005.

Almost surely, 2^{2162688000000} is an apocalyptic number.

2162688000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2162688000000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162688000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932109199608).

2162688000000 is an abundant number, since it is smaller than the sum of its proper divisors (5701530399216).

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

2162688000000 is an frugal number, since it uses more digits than its factorization.

2162688000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Multiplying 2162688000000 by its sum of digits (33), we get a square (71368704000000 = 8448000²).

2162688000000 divided by its sum of digits (33) gives a square (65536000000 = 256000²).

The spelling of 2162688000000 in words is "two trillion, one hundred sixty-two billion, six hundred eighty-eight million", and thus it is an aban number.