2102952159000 has 1536 divisors, whose sum is σ = 9368269747200. Its totient is φ = 431464320000.

The previous prime is 2102952158939. The next prime is 2102952159053. The reversal of 2102952159000 is 9512592012.

It is a happy number.

2102952159000 is a `hidden beast` number, since 2 + 10 + 2 + 9 + 52 + 1 + 590 + 0 + 0 = 666.

It is a super-2 number, since 2×2102952159000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1207898130 + ... + 1207899870.

It is an arithmetic number, because the mean of its divisors is an integer number (6099133950).

Almost surely, 2^{2102952159000} is an apocalyptic number.

2102952159000 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 2102952159000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684134873600).

2102952159000 is an abundant number, since it is smaller than the sum of its proper divisors (7265317588200).

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

2102952159000 is a wasteful number, since it uses less digits than its factorization.

2102952159000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 2102952159000 in words is "two trillion, one hundred two billion, nine hundred fifty-two million, one hundred fifty-nine thousand".