2038418976 has 288 divisors, whose sum is σ = 6321188160. Its totient is φ = 569958400.

The previous prime is 2038418969. The next prime is 2038419001. The reversal of 2038418976 is 6798148302.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 22903540 + ... + 22903628.

It is an arithmetic number, because the mean of its divisors is an integer number (21948570).

Almost surely, 2^2038418976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038418976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160594080).

2038418976 is an abundant number, since it is smaller than the sum of its proper divisors (4282769184).

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

2038418976 is a wasteful number, since it uses less digits than its factorization.

2038418976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2038418976 is about 45148.8535402617. The cubic root of 2038418976 is about 1267.9374162639.

The spelling of 2038418976 in words is "two billion, thirty-eight million, four hundred eighteen thousand, nine hundred seventy-six".