2642406480 has 120 divisors (see below), whose sum is σ = 10141827072. Its totient is φ = 603977472.

The previous prime is 2642406443. The next prime is 2642406491. The reversal of 2642406480 is 846042462.

It is a happy number.

2642406480 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 4 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2642406480³ (a number of 29 digits) contains 333 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257104 + ... + 267183.

Almost surely, 2^2642406480 is an apocalyptic number.

2642406480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642406480 is an abundant number, since it is smaller than the sum of its proper divisors (7499420592).

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

2642406480 is a wasteful number, since it uses less digits than its factorization.

2642406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524313 (or 524304 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2642406480 is about 51404.3430071818. The cubic root of 2642406480 is about 1382.5044627930.

The spelling of 2642406480 in words is "two billion, six hundred forty-two million, four hundred six thousand, four hundred eighty".