2162038919040 has 2048 divisors, whose sum is σ = 10376026214400. Its totient is φ = 414295326720.

The previous prime is 2162038918981. The next prime is 2162038919041. The reversal of 2162038919040 is 409198302612.

2162038919040 is a `hidden beast` number, since 2 + 1 + 620 + 3 + 8 + 9 + 19 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162038919041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2092970364 + ... + 2092971396.

It is an arithmetic number, because the mean of its divisors is an integer number (5066419050).

Almost surely, 2^{2162038919040} is an apocalyptic number.

2162038919040 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 2162038919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188013107200).

2162038919040 is an abundant number, since it is smaller than the sum of its proper divisors (8213987295360).

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

2162038919040 is a wasteful number, since it uses less digits than its factorization.

2162038919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2162038919040 in words is "two trillion, one hundred sixty-two billion, thirty-eight million, nine hundred nineteen thousand, forty".