2045535744 has 480 divisors, whose sum is σ = 7184111616. Its totient is φ = 504299520.

The previous prime is 2045535719. The next prime is 2045535749. The reversal of 2045535744 is 4475355402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045535749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65985009 + ... + 65985039.

Almost surely, 2^2045535744 is an apocalyptic number.

2045535744 is a gapful number since it is divisible by the number (24) 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 2045535744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592055808).

2045535744 is an abundant number, since it is smaller than the sum of its proper divisors (5138575872).

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

2045535744 is a wasteful number, since it uses less digits than its factorization.

2045535744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 39.

The square root of 2045535744 is about 45227.5993614519. The cubic root of 2045535744 is about 1269.4112930643.

The spelling of 2045535744 in words is "two billion, forty-five million, five hundred thirty-five thousand, seven hundred forty-four".