2654065440 has 576 divisors, whose sum is σ = 10401955200. Its totient is φ = 635019264.

The previous prime is 2654065429. The next prime is 2654065451. The reversal of 2654065440 is 445604562.

2654065440 is a `hidden beast` number, since 26 + 540 + 6 + 54 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2654065429) and next prime (2654065451).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2654065395 and 2654065404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29820916 + ... + 29821004.

It is an arithmetic number, because the mean of its divisors is an integer number (18058950).

Almost surely, 2^2654065440 is an apocalyptic number.

2654065440 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 2654065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200977600).

2654065440 is an abundant number, since it is smaller than the sum of its proper divisors (7747889760).

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

2654065440 is a wasteful number, since it uses less digits than its factorization.

2654065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2654065440 is about 51517.6226159554. The cubic root of 2654065440 is about 1384.5347983868.

The spelling of 2654065440 in words is "two billion, six hundred fifty-four million, sixty-five thousand, four hundred forty".