2516429168640 has 448 divisors, whose sum is σ = 8959493099520. Its totient is φ = 670093148160.

The previous prime is 2516429168609. The next prime is 2516429168647. The reversal of 2516429168640 is 468619246152.

It is a happy number.

2516429168640 is a `hidden beast` number, since 2 + 5 + 16 + 429 + 168 + 6 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516429168647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140202417 + ... + 1140204623.

Almost surely, 2^{2516429168640} is an apocalyptic number.

2516429168640 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 2516429168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479746549760).

2516429168640 is an abundant number, since it is smaller than the sum of its proper divisors (6443063930880).

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

2516429168640 is a wasteful number, since it uses less digits than its factorization.

2516429168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2516429168640 in words is "two trillion, five hundred sixteen billion, four hundred twenty-nine million, one hundred sixty-eight thousand, six hundred forty".