2648377440 has 144 divisors (see below), whose sum is σ = 9349376400. Its totient is φ = 681870336.

The previous prime is 2648377429. The next prime is 2648377441. The reversal of 2648377440 is 447738462.

2648377440 is a `hidden beast` number, since 2 + 64 + 83 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648377441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10051 + ... + 73469.

It is an arithmetic number, because the mean of its divisors is an integer number (64926225).

Almost surely, 2^2648377440 is an apocalyptic number.

2648377440 is a gapful number since it is divisible by the number (20) 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 2648377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674688200).

2648377440 is an abundant number, since it is smaller than the sum of its proper divisors (6700998960).

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

2648377440 is a wasteful number, since it uses less digits than its factorization.

2648377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63469 (or 63458 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 2648377440 is about 51462.3885959445. The cubic root of 2648377440 is about 1383.5450128803.

The spelling of 2648377440 in words is "two billion, six hundred forty-eight million, three hundred seventy-seven thousand, four hundred forty".