2654504440 has 256 divisors, whose sum is σ = 7776000000. Its totient is φ = 810141696.

The previous prime is 2654504371. The next prime is 2654504507. The reversal of 2654504440 is 444054562.

2654504440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2654504396 and 2654504405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4431261 + ... + 4431859.

It is an arithmetic number, because the mean of its divisors is an integer number (30375000).

Almost surely, 2^2654504440 is an apocalyptic number.

2654504440 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 2654504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000000).

2654504440 is an abundant number, since it is smaller than the sum of its proper divisors (5121495560).

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

2654504440 is a wasteful number, since it uses less digits than its factorization.

2654504440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 2654504440 is about 51521.8831177588. The cubic root of 2654504440 is about 1384.6111312532.

The spelling of 2654504440 in words is "two billion, six hundred fifty-four million, five hundred four thousand, four hundred forty".