2653478023680 has 1280 divisors, whose sum is σ = 10726764871680. Its totient is φ = 615908966400.

The previous prime is 2653478023643. The next prime is 2653478023687. The reversal of 2653478023680 is 863208743562.

2653478023680 is a `hidden beast` number, since 2 + 6 + 534 + 7 + 8 + 0 + 23 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2653478023687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2427701214 + ... + 2427702306.

It is an arithmetic number, because the mean of its divisors is an integer number (8380285056).

Almost surely, 2^{2653478023680} is an apocalyptic number.

2653478023680 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 2653478023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363382435840).

2653478023680 is an abundant number, since it is smaller than the sum of its proper divisors (8073286848000).

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

2653478023680 is a wasteful number, since it uses less digits than its factorization.

2653478023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2653478023680 in words is "two trillion, six hundred fifty-three billion, four hundred seventy-eight million, twenty-three thousand, six hundred eighty".