2152931040 has 288 divisors, whose sum is σ = 8329819680. Its totient is φ = 501977088.

The previous prime is 2152930981. The next prime is 2152931041. The reversal of 2152931040 is 401392512.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2152931040² = 9270224125990963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2152930995 and 2152931013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152931041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352654 + ... + 358706.

It is an arithmetic number, because the mean of its divisors is an integer number (28922985).

Almost surely, 2^2152931040 is an apocalyptic number.

2152931040 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 2152931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164909840).

2152931040 is an abundant number, since it is smaller than the sum of its proper divisors (6176888640).

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

2152931040 is a wasteful number, since it uses less digits than its factorization.

2152931040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2152931040 is about 46399.6879299850. The cubic root of 2152931040 is about 1291.2491235808.

The spelling of 2152931040 in words is "two billion, one hundred fifty-two million, nine hundred thirty-one thousand, forty".