2401784064 has 81 divisors (see below), whose sum is σ = 6931724709. Its totient is φ = 799810560.

The previous prime is 2401784057. The next prime is 2401784081. The reversal of 2401784064 is 4604871042.

The square root of 2401784064 is 49008.

It is a perfect power (a square), and thus also a powerful number.

2401784064 is a `hidden beast` number, since 240 + 1 + 7 + 8 + 406 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1398161664 + 1003622400 = 37392^2 + 31680^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2351874 + ... + 2352894.

Almost surely, 2^2401784064 is an apocalyptic number.

2401784064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2401784064 is the 49008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401784064

2401784064 is an abundant number, since it is smaller than the sum of its proper divisors (4529940645).

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

2401784064 is an frugal number, since it uses more digits than its factorization.

2401784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The cubic root of 2401784064 is about 1339.1975711128.

Multiplying 2401784064 by its sum of digits (36), we get a square (86464226304 = 294048²).

2401784064 divided by its sum of digits (36) gives a square (66716224 = 8168²).

The spelling of 2401784064 in words is "two billion, four hundred one million, seven hundred eighty-four thousand, sixty-four".