2038632960 has 320 divisors, whose sum is σ = 8023986432. Its totient is φ = 429981696.

The previous prime is 2038632941. The next prime is 2038632977. The reversal of 2038632960 is 692368302.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697422 + ... + 700338.

Almost surely, 2^2038632960 is an apocalyptic number.

2038632960 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 2038632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011993216).

2038632960 is an abundant number, since it is smaller than the sum of its proper divisors (5985353472).

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

2038632960 is a wasteful number, since it uses less digits than its factorization.

2038632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2038632960 is about 45151.2232392435. The cubic root of 2038632960 is about 1267.9817821556.

The spelling of 2038632960 in words is "two billion, thirty-eight million, six hundred thirty-two thousand, nine hundred sixty".