2054007424 has 128 divisors (see below), whose sum is σ = 4898350080. Its totient is φ = 839393280.

The previous prime is 2054007377. The next prime is 2054007437. The reversal of 2054007424 is 4247004502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2054007392 and 2054007401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2027142 + ... + 2028154.

It is an arithmetic number, because the mean of its divisors is an integer number (38268360).

Almost surely, 2^2054007424 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 2054007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449175040).

2054007424 is an abundant number, since it is smaller than the sum of its proper divisors (2844342656).

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

2054007424 is a wasteful number, since it uses less digits than its factorization.

2054007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 2054007424 is about 45321.1586789217. The cubic root of 2054007424 is about 1271.1613210189.

The spelling of 2054007424 in words is "two billion, fifty-four million, seven thousand, four hundred twenty-four".