2619813992040 has 384 divisors, whose sum is σ = 9971732759040. Its totient is φ = 584115038208.

The previous prime is 2619813991973. The next prime is 2619813992129. The reversal of 2619813992040 is 402993189162.

2619813992040 is a `hidden beast` number, since 2 + 6 + 198 + 1 + 399 + 20 + 40 = 666.

It is a super-2 number, since 2×2619813992040² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23049189 + ... + 23162571.

It is an arithmetic number, because the mean of its divisors is an integer number (25968054060).

Almost surely, 2^{2619813992040} is an apocalyptic number.

2619813992040 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 2619813992040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985866379520).

2619813992040 is an abundant number, since it is smaller than the sum of its proper divisors (7351918767000).

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

2619813992040 is a wasteful number, since it uses less digits than its factorization.

2619813992040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113633 (or 113626 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 2619813992040 in words is "two trillion, six hundred nineteen billion, eight hundred thirteen million, nine hundred ninety-two thousand, forty".