2017772064 has 144 divisors (see below), whose sum is σ = 7153997760. Its totient is φ = 524090880.

The previous prime is 2017772059. The next prime is 2017772069. The reversal of 2017772064 is 4602777102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2017772059) and next prime (2017772069).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2017772069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23319 + ... + 67670.

It is an arithmetic number, because the mean of its divisors is an integer number (49680540).

Almost surely, 2^2017772064 is an apocalyptic number.

2017772064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2017772064 is an abundant number, since it is smaller than the sum of its proper divisors (5136225696).

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

2017772064 is a wasteful number, since it uses less digits than its factorization.

2017772064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91023 (or 91012 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 2017772064 is about 44919.6178078131. The cubic root of 2017772064 is about 1263.6419498060.

It can be divided in two parts, 201777 and 2064, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 2017772064 in words is "two billion, seventeen million, seven hundred seventy-two thousand, sixty-four".