2152001600 has 126 divisors (see below), whose sum is σ = 6160027050. Its totient is φ = 737802240.

The previous prime is 2152001597. The next prime is 2152001603. The reversal of 2152001600 is 61002512.

It is an interprime number because it is at equal distance from previous prime (2152001597) and next prime (2152001603).

It can be written as a sum of positive squares in 3 ways, for example, as 297493504 + 1854508096 = 17248^2 + 43064^2 .

It is a super-2 number, since 2×2152001600² = 9262221772805120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2152001603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64676 + ... + 92124.

Almost surely, 2^2152001600 is an apocalyptic number.

2152001600 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 2152001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080013525).

2152001600 is an abundant number, since it is smaller than the sum of its proper divisors (4008025450).

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

2152001600 is a wasteful number, since it uses less digits than its factorization.

2152001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27485 (or 27463 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2152001600 is about 46389.6712641941. The cubic root of 2152001600 is about 1291.0632821537.

The spelling of 2152001600 in words is "two billion, one hundred fifty-two million, one thousand, six hundred".