2154315040 has 96 divisors (see below), whose sum is σ = 5225665536. Its totient is φ = 838978560.

The previous prime is 2154315017. The next prime is 2154315041. The reversal of 2154315040 is 405134512.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2154314996 and 2154315014.

It is not an unprimeable number, because it can be changed into a prime (2154315041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004209 + ... + 1006351.

It is an arithmetic number, because the mean of its divisors is an integer number (54434016).

Almost surely, 2^2154315040 is an apocalyptic number.

2154315040 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 2154315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612832768).

2154315040 is an abundant number, since it is smaller than the sum of its proper divisors (3071350496).

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

2154315040 is a wasteful number, since it uses less digits than its factorization.

2154315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2154315040 is about 46414.5994273354. The cubic root of 2154315040 is about 1291.5257551357.

Adding to 2154315040 its reverse (405134512), we get a palindrome (2559449552).

The spelling of 2154315040 in words is "two billion, one hundred fifty-four million, three hundred fifteen thousand, forty".