2145722040 has 576 divisors, whose sum is σ = 9082644480. Its totient is φ = 429580800.

The previous prime is 2145722021. The next prime is 2145722113. The reversal of 2145722040 is 402275412.

2145722040 is a `hidden beast` number, since 2 + 1 + 457 + 2 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2145721995 and 2145722013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9452407 + ... + 9452633.

It is an arithmetic number, because the mean of its divisors is an integer number (15768480).

Almost surely, 2^2145722040 is an apocalyptic number.

2145722040 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 2145722040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541322240).

2145722040 is an abundant number, since it is smaller than the sum of its proper divisors (6936922440).

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

2145722040 is a wasteful number, since it uses less digits than its factorization.

2145722040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2145722040 is about 46321.9390785835. The cubic root of 2145722040 is about 1289.8062806276.

Adding to 2145722040 its reverse (402275412), we get a palindrome (2547997452).

It can be divided in two parts, 214572 and 2040, that added together give a palindrome (216612).

The spelling of 2145722040 in words is "two billion, one hundred forty-five million, seven hundred twenty-two thousand, forty".