2654179799040 has 1560 divisors, whose sum is σ = 11958507459360. Its totient is φ = 551225917440.

The previous prime is 2654179799021. The next prime is 2654179799053. The reversal of 2654179799040 is 409979714562.

2654179799040 is a `hidden beast` number, since 2 + 6 + 5 + 417 + 97 + 9 + 90 + 40 = 666.

It is a super-3 number, since 3×2654179799040³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1405070416 + ... + 1405072304.

Almost surely, 2^{2654179799040} is an apocalyptic number.

2654179799040 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 2654179799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979253729680).

2654179799040 is an abundant number, since it is smaller than the sum of its proper divisors (9304327660320).

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

2654179799040 is a wasteful number, since it uses less digits than its factorization.

2654179799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 2654179799040 in words is "two trillion, six hundred fifty-four billion, one hundred seventy-nine million, seven hundred ninety-nine thousand, forty".