2045424960 has 560 divisors, whose sum is σ = 7860036096. Its totient is φ = 503635968.

The previous prime is 2045424959. The next prime is 2045424971. The reversal of 2045424960 is 694245402.

2045424960 is a `hidden beast` number, since 20 + 4 + 542 + 4 + 96 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28019484 + ... + 28019556.

Almost surely, 2^2045424960 is an apocalyptic number.

2045424960 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 2045424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930018048).

2045424960 is an abundant number, since it is smaller than the sum of its proper divisors (5814611136).

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

2045424960 is a wasteful number, since it uses less digits than its factorization.

2045424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2045424960 is about 45226.3746059752. The cubic root of 2045424960 is about 1269.3883760037.

The spelling of 2045424960 in words is "two billion, forty-five million, four hundred twenty-four thousand, nine hundred sixty".