1642451580 has 756 divisors, whose sum is σ = 6960267720. Its totient is φ = 323326080.

The previous prime is 1642451539. The next prime is 1642451611. The reversal of 1642451580 is 851542461.

It is a happy number.

1642451580 is a `hidden beast` number, since 1 + 6 + 4 + 24 + 51 + 580 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 86444811 + ... + 86444829.

Almost surely, 2^1642451580 is an apocalyptic number.

1642451580 is a gapful number since it is divisible by the number (10) 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 1642451580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480133860).

1642451580 is an abundant number, since it is smaller than the sum of its proper divisors (5317816140).

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

1642451580 is a wasteful number, since it uses less digits than its factorization.

1642451580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1642451580 is about 40527.1708857157. The cubic root of 1642451580 is about 1179.8610340994.

The spelling of 1642451580 in words is "one billion, six hundred forty-two million, four hundred fifty-one thousand, five hundred eighty".