2145715540 has 96 divisors (see below), whose sum is σ = 4819772160. Its totient is φ = 800633856.

The previous prime is 2145715513. The next prime is 2145715541. The reversal of 2145715540 is 455175412.

It is a junction number, because it is equal to n+sod(n) for n = 2145715496 and 2145715505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145715541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4694992 + ... + 4695448.

It is an arithmetic number, because the mean of its divisors is an integer number (50205960).

Almost surely, 2^2145715540 is an apocalyptic number.

2145715540 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 2145715540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409886080).

2145715540 is an abundant number, since it is smaller than the sum of its proper divisors (2674056620).

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

2145715540 is a wasteful number, since it uses less digits than its factorization.

2145715540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 2145715540 is about 46321.8689173915. The cubic root of 2145715540 is about 1289.8049782300.

The spelling of 2145715540 in words is "two billion, one hundred forty-five million, seven hundred fifteen thousand, five hundred forty".