2157811040 has 288 divisors, whose sum is σ = 6552741888. Its totient is φ = 663936000.

The previous prime is 2157811027. The next prime is 2157811087. The reversal of 2157811040 is 401187512.

It is a super-2 number, since 2×2157811040² = 9312296968691763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2157810994 and 2157811012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11297345 + ... + 11297535.

It is an arithmetic number, because the mean of its divisors is an integer number (22752576).

Almost surely, 2^2157811040 is an apocalyptic number.

2157811040 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 2157811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276370944).

2157811040 is an abundant number, since it is smaller than the sum of its proper divisors (4394930848).

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

2157811040 is a wasteful number, since it uses less digits than its factorization.

2157811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 2157811040 is about 46452.2447250937. The cubic root of 2157811040 is about 1292.2240024151.

Adding to 2157811040 its reverse (401187512), we get a palindrome (2558998552).

The spelling of 2157811040 in words is "two billion, one hundred fifty-seven million, eight hundred eleven thousand, forty".