2045655696 has 240 divisors, whose sum is σ = 6694821504. Its totient is φ = 525398016.

The previous prime is 2045655643. The next prime is 2045655697. The reversal of 2045655696 is 6965565402.

2045655696 = T₁₆₅ + T₁₆₆ + ... + T₂₃₀₆.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2045655697) 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 47 ways as a sum of consecutive naturals, for example, 3021310 + ... + 3021986.

Almost surely, 2^2045655696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045655696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347410752).

2045655696 is an abundant number, since it is smaller than the sum of its proper divisors (4649165808).

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

2045655696 is a wasteful number, since it uses less digits than its factorization.

2045655696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The square root of 2045655696 is about 45228.9254349470. The cubic root of 2045655696 is about 1269.4361057077.

The spelling of 2045655696 in words is "two billion, forty-five million, six hundred fifty-five thousand, six hundred ninety-six".