2038825152 has 336 divisors, whose sum is σ = 7284793152. Its totient is φ = 530841600.

The previous prime is 2038825121. The next prime is 2038825169. The reversal of 2038825152 is 2515288302.

2038825152 is a `hidden beast` number, since 20 + 388 + 251 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a zygodrome in base 2.

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, 5084152 + ... + 5084552.

It is an arithmetic number, because the mean of its divisors is an integer number (21680932).

Almost surely, 2^2038825152 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 2038825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642396576).

2038825152 is an abundant number, since it is smaller than the sum of its proper divisors (5245968000).

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

2038825152 is a wasteful number, since it uses less digits than its factorization.

2038825152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2038825152 is about 45153.3515035152. The cubic root of 2038825152 is about 1268.0216272056.

The spelling of 2038825152 in words is "two billion, thirty-eight million, eight hundred twenty-five thousand, one hundred fifty-two".