208290929040 has 120 divisors (see below), whose sum is σ = 701009382528. Its totient is φ = 55425219840.

The previous prime is 208290929029. The next prime is 208290929057. The reversal of 208290929040 is 40929092802.

208290929040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×208290929040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26505 + ... + 645975.

Almost surely, 2^208290929040 is an apocalyptic number.

208290929040 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 208290929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350504691264).

208290929040 is an abundant number, since it is smaller than the sum of its proper divisors (492718453488).

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

208290929040 is a wasteful number, since it uses less digits than its factorization.

208290929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619957 (or 619948 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 208290929040 in words is "two hundred eight billion, two hundred ninety million, nine hundred twenty-nine thousand, forty".