2059154064 has 240 divisors, whose sum is σ = 6483567168. Its totient is φ = 604800000.

The previous prime is 2059154059. The next prime is 2059154101. The reversal of 2059154064 is 4604519502.

2059154064 is a `hidden beast` number, since 2 + 0 + 59 + 1 + 540 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9758919 + ... + 9759129.

Almost surely, 2^2059154064 is an apocalyptic number.

2059154064 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 2059154064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241783584).

2059154064 is an abundant number, since it is smaller than the sum of its proper divisors (4424413104).

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

2059154064 is a wasteful number, since it uses less digits than its factorization.

2059154064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2059154064 is about 45377.9028162387. The cubic root of 2059154064 is about 1272.2221339837. Note that the first 3 decimals are identical.

The spelling of 2059154064 in words is "two billion, fifty-nine million, one hundred fifty-four thousand, sixty-four".