2152362240 has 864 divisors, whose sum is σ = 9395205120. Its totient is φ = 464486400.

The previous prime is 2152362221. The next prime is 2152362257. The reversal of 2152362240 is 422632512.

It is a happy number.

2152362240 is a `hidden beast` number, since 2 + 15 + 23 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52496620 + ... + 52496660.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 2^2152362240 is an apocalyptic number.

2152362240 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 2152362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697602560).

2152362240 is an abundant number, since it is smaller than the sum of its proper divisors (7242842880).

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

2152362240 is a wasteful number, since it uses less digits than its factorization.

2152362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2152362240 is about 46393.5581735223. The cubic root of 2152362240 is about 1291.1353984345.

Adding to 2152362240 its reverse (422632512), we get a palindrome (2574994752).

It can be divided in two parts, 21 and 52362240, that added together give a triangular number (52362261 = T₁₀₂₃₃).

The spelling of 2152362240 in words is "two billion, one hundred fifty-two million, three hundred sixty-two thousand, two hundred forty".