2938651560 has 192 divisors, whose sum is σ = 10388785680. Its totient is φ = 716083200.

The previous prime is 2938651537. The next prime is 2938651567. The reversal of 2938651560 is 651568392.

2938651560 is a `hidden beast` number, since 2 + 9 + 3 + 86 + 5 + 1 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1903227876 + 1035423684 = 43626^2 + 32178^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2938651567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469572 + ... + 475788.

Almost surely, 2^2938651560 is an apocalyptic number.

2938651560 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 2938651560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194392840).

2938651560 is an abundant number, since it is smaller than the sum of its proper divisors (7450134120).

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

2938651560 is a wasteful number, since it uses less digits than its factorization.

2938651560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2938651560 is about 54209.3309311229. The cubic root of 2938651560 is about 1432.3507003378.

The spelling of 2938651560 in words is "two billion, nine hundred thirty-eight million, six hundred fifty-one thousand, five hundred sixty".