2624946948 has 288 divisors, whose sum is σ = 8101416960. Its totient is φ = 708341760.

The previous prime is 2624946887. The next prime is 2624946949. The reversal of 2624946948 is 8496494262.

2624946948 is a `hidden beast` number, since 2 + 62 + 494 + 6 + 94 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2624946894 and 2624946903.

It is not an unprimeable number, because it can be changed into a prime (2624946949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7152261 + ... + 7152627.

It is an arithmetic number, because the mean of its divisors is an integer number (28129920).

Almost surely, 2^2624946948 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 2624946948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050708480).

2624946948 is an abundant number, since it is smaller than the sum of its proper divisors (5476470012).

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

2624946948 is a wasteful number, since it uses less digits than its factorization.

2624946948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2624946948 is about 51234.2360926754. The cubic root of 2624946948 is about 1379.4527950203.

The spelling of 2624946948 in words is "two billion, six hundred twenty-four million, nine hundred forty-six thousand, nine hundred forty-eight".