2516390204640 has 384 divisors, whose sum is σ = 8726120202240. Its totient is φ = 605675102208.

The previous prime is 2516390204633. The next prime is 2516390204717. The reversal of 2516390204640 is 464020936152.

It is a junction number, because it is equal to n+sod(n) for n = 2516390204592 and 2516390204601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374515201 + ... + 374521919.

It is an arithmetic number, because the mean of its divisors is an integer number (22724271360).

Almost surely, 2^{2516390204640} is an apocalyptic number.

2516390204640 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 2516390204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363060101120).

2516390204640 is an abundant number, since it is smaller than the sum of its proper divisors (6209729997600).

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

2516390204640 is a wasteful number, since it uses less digits than its factorization.

2516390204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8074 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 2516390204640 in words is "two trillion, five hundred sixteen billion, three hundred ninety million, two hundred four thousand, six hundred forty".