2137742516 has 192 divisors, whose sum is σ = 5117952000. Its totient is φ = 762203520.

The previous prime is 2137742513. The next prime is 2137742527. The reversal of 2137742516 is 6152477312.

It is a super-3 number, since 3×2137742516³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 2137742516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137742513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36232895 + ... + 36232953.

It is an arithmetic number, because the mean of its divisors is an integer number (26656000).

Almost surely, 2^2137742516 is an apocalyptic number.

2137742516 is a gapful number since it is divisible by the number (26) 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 2137742516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558976000).

2137742516 is an abundant number, since it is smaller than the sum of its proper divisors (2980209484).

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

2137742516 is a wasteful number, since it uses less digits than its factorization.

2137742516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 2137742516 is about 46235.7277005564. The cubic root of 2137742516 is about 1288.2054481437.

The spelling of 2137742516 in words is "two billion, one hundred thirty-seven million, seven hundred forty-two thousand, five hundred sixteen".