2361815820 has 480 divisors, whose sum is σ = 9386982528. Its totient is φ = 483729408.

The previous prime is 2361815809. The next prime is 2361815821. The reversal of 2361815820 is 285181632.

It is a happy number.

2361815820 is a `hidden beast` number, since 2 + 3 + 618 + 15 + 8 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2361815821) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5454324 + ... + 5454756.

Almost surely, 2^2361815820 is an apocalyptic number.

2361815820 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 2361815820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693491264).

2361815820 is an abundant number, since it is smaller than the sum of its proper divisors (7025166708).

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

2361815820 is a wasteful number, since it uses less digits than its factorization.

2361815820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2361815820 is about 48598.5166440294. The cubic root of 2361815820 is about 1331.7274217013.

The spelling of 2361815820 in words is "two billion, three hundred sixty-one million, eight hundred fifteen thousand, eight hundred twenty".