2654745089280 has 288 divisors, whose sum is σ = 9048048758784. Its totient is φ = 661040529408.

The previous prime is 2654745089137. The next prime is 2654745089303. The reversal of 2654745089280 is 829805474562.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8130454 + ... + 8450666.

It is an arithmetic number, because the mean of its divisors is an integer number (31416835968).

Almost surely, 2^{2654745089280} is an apocalyptic number.

2654745089280 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 2654745089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524024379392).

2654745089280 is an abundant number, since it is smaller than the sum of its proper divisors (6393303669504).

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

2654745089280 is a wasteful number, since it uses less digits than its factorization.

2654745089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320381 (or 320367 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 2654745089280 in words is "two trillion, six hundred fifty-four billion, seven hundred forty-five million, eighty-nine thousand, two hundred eighty".