2142696000 has 224 divisors, whose sum is σ = 7177966848. Its totient is φ = 563097600.

The previous prime is 2142695993. The next prime is 2142696041. The reversal of 2142696000 is 6962412.

It is a super-2 number, since 2×2142696000² = 9182292296832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751389 + ... + 1752611.

Almost surely, 2^2142696000 is an apocalyptic number.

2142696000 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 2142696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588983424).

2142696000 is an abundant number, since it is smaller than the sum of its proper divisors (5035270848).

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

2142696000 is a wasteful number, since it uses less digits than its factorization.

2142696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2142696000 is about 46289.2644141166. The cubic root of 2142696000 is about 1289.1996718307.

The spelling of 2142696000 in words is "two billion, one hundred forty-two million, six hundred ninety-six thousand".