2045787408 has 160 divisors (see below), whose sum is σ = 6752901120. Its totient is φ = 580867200.

The previous prime is 2045787407. The next prime is 2045787413. The reversal of 2045787408 is 8047875402.

2045787408 is a `hidden beast` number, since 2 + 0 + 4 + 578 + 74 + 0 + 8 = 666.

It is a super-2 number, since 2×2045787408² = 8370492237462716928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2045787407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502983 + ... + 507033.

It is an arithmetic number, because the mean of its divisors is an integer number (42205632).

Almost surely, 2^2045787408 is an apocalyptic number.

2045787408 is a gapful number since it is divisible by the number (28) 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 2045787408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376450560).

2045787408 is an abundant number, since it is smaller than the sum of its proper divisors (4707113712).

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

2045787408 is a wasteful number, since it uses less digits than its factorization.

2045787408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2045787408 is about 45230.3814708654. The cubic root of 2045787408 is about 1269.4633498460.

The spelling of 2045787408 in words is "two billion, forty-five million, seven hundred eighty-seven thousand, four hundred eight".