2198765520 has 320 divisors, whose sum is σ = 8936570880. Its totient is φ = 486259200.

The previous prime is 2198765509. The next prime is 2198765531. The reversal of 2198765520 is 255678912.

2198765520 is a `hidden beast` number, since 2 + 1 + 98 + 7 + 6 + 552 + 0 = 666.

2198765520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2198765509) and next prime (2198765531).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466375 + ... + 471065.

It is an arithmetic number, because the mean of its divisors is an integer number (27926784).

Almost surely, 2^2198765520 is an apocalyptic number.

2198765520 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 2198765520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468285440).

2198765520 is an abundant number, since it is smaller than the sum of its proper divisors (6737805360).

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

2198765520 is a wasteful number, since it uses less digits than its factorization.

2198765520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2198765520 is about 46890.9961506471. The cubic root of 2198765520 is about 1300.3481355590.

The spelling of 2198765520 in words is "two billion, one hundred ninety-eight million, seven hundred sixty-five thousand, five hundred twenty".