2038493664 has 72 divisors (see below), whose sum is σ = 6137979120. Its totient is φ = 639525888.

The previous prime is 2038493663. The next prime is 2038493689. The reversal of 2038493664 is 4663948302.

2038493664 is a `hidden beast` number, since 203 + 84 + 9 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038493663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203284 + ... + 213075.

It is an arithmetic number, because the mean of its divisors is an integer number (85249710).

Almost surely, 2^2038493664 is an apocalyptic number.

2038493664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2038493664 is an abundant number, since it is smaller than the sum of its proper divisors (4099485456).

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

2038493664 is a wasteful number, since it uses less digits than its factorization.

2038493664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416392 (or 416381 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2038493664 is about 45149.6806633225. The cubic root of 2038493664 is about 1267.9529018852.

The spelling of 2038493664 in words is "two billion, thirty-eight million, four hundred ninety-three thousand, six hundred sixty-four".