2516205780 has 144 divisors (see below), whose sum is σ = 8351126784. Its totient is φ = 608175360.

The previous prime is 2516205779. The next prime is 2516205787. The reversal of 2516205780 is 875026152.

It is a happy number.

2516205780 is a `hidden beast` number, since 25 + 1 + 62 + 0 + 578 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516205787) 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, 736837 + ... + 740243.

It is an arithmetic number, because the mean of its divisors is an integer number (57993936).

Almost surely, 2^2516205780 is an apocalyptic number.

2516205780 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 2516205780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175563392).

2516205780 is an abundant number, since it is smaller than the sum of its proper divisors (5834921004).

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

2516205780 is a wasteful number, since it uses less digits than its factorization.

2516205780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2516205780 is about 50161.7960204776. The cubic root of 2516205780 is about 1360.1351112884.

The spelling of 2516205780 in words is "two billion, five hundred sixteen million, two hundred five thousand, seven hundred eighty".