252102780 has 84 divisors (see below), whose sum is σ = 793806552. Its totient is φ = 67223520.

The previous prime is 252102779. The next prime is 252102797. The reversal of 252102780 is 87201252.

252102780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5935 + ... + 23225.

It is an arithmetic number, because the mean of its divisors is an integer number (9450078).

Almost surely, 2^252102780 is an apocalyptic number.

252102780 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 252102780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396903276).

252102780 is an abundant number, since it is smaller than the sum of its proper divisors (541703772).

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

252102780 is a wasteful number, since it uses less digits than its factorization.

252102780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17318 (or 17301 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 252102780 is about 15877.7448020807. The cubic root of 252102780 is about 631.7218205063.

The spelling of 252102780 in words is "two hundred fifty-two million, one hundred two thousand, seven hundred eighty".