2116206510 has 192 divisors, whose sum is σ = 5984616960. Its totient is φ = 477100800.

The previous prime is 2116206503. The next prime is 2116206553. The reversal of 2116206510 is 156026112.

It is a super-3 number, since 3×2116206510³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4206919 + ... + 4207421.

It is an arithmetic number, because the mean of its divisors is an integer number (31169880).

Almost surely, 2^2116206510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116206510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992308480).

2116206510 is an abundant number, since it is smaller than the sum of its proper divisors (3868410450).

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

2116206510 is a wasteful number, since it uses less digits than its factorization.

2116206510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2116206510 is about 46002.2446191487. The cubic root of 2116206510 is about 1283.8649679429.

It can be divided in two parts, 211620 and 6510, that added together give a triangular number (218130 = T₆₆₀).

The spelling of 2116206510 in words is "two billion, one hundred sixteen million, two hundred six thousand, five hundred ten".