2138349510 has 384 divisors, whose sum is σ = 6768316800. Its totient is φ = 479001600.

The previous prime is 2138349503. The next prime is 2138349517. The reversal of 2138349510 is 159438312.

2138349510 is a `hidden beast` number, since 2 + 138 + 3 + 4 + 9 + 510 = 666.

It is an interprime number because it is at equal distance from previous prime (2138349503) and next prime (2138349517).

It is a super-3 number, since 3×2138349510³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138349517) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35054880 + ... + 35054940.

It is an arithmetic number, because the mean of its divisors is an integer number (17625825).

Almost surely, 2^2138349510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138349510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384158400).

2138349510 is an abundant number, since it is smaller than the sum of its proper divisors (4629967290).

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

2138349510 is a wasteful number, since it uses less digits than its factorization.

2138349510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2138349510 is about 46242.2913575874. The cubic root of 2138349510 is about 1288.3273616383.

The spelling of 2138349510 in words is "two billion, one hundred thirty-eight million, three hundred forty-nine thousand, five hundred ten".