2084361552 has 320 divisors, whose sum is σ = 7567848960. Its totient is φ = 534491136.

The previous prime is 2084361493. The next prime is 2084361553. The reversal of 2084361552 is 2551634802.

2084361552 is a `hidden beast` number, since 2 + 0 + 8 + 43 + 61 + 552 = 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 (2084361553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1453828 + ... + 1455260.

It is an arithmetic number, because the mean of its divisors is an integer number (23649528).

Almost surely, 2^2084361552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084361552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783924480).

2084361552 is an abundant number, since it is smaller than the sum of its proper divisors (5483487408).

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

2084361552 is a wasteful number, since it uses less digits than its factorization.

2084361552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2084361552 is about 45654.8086404926. The cubic root of 2084361552 is about 1277.3924684083.

The spelling of 2084361552 in words is "two billion, eighty-four million, three hundred sixty-one thousand, five hundred fifty-two".