2649629111040 has 288 divisors, whose sum is σ = 9407753154240. Its totient is φ = 706173272064.

The previous prime is 2649629111039. The next prime is 2649629111081. The reversal of 2649629111040 is 401119269462.

2649629111040 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 629 + 1 + 1 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64710414 + ... + 64751346.

Almost surely, 2^{2649629111040} is an apocalyptic number.

2649629111040 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 2649629111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703876577120).

2649629111040 is an abundant number, since it is smaller than the sum of its proper divisors (6758124043200).

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

2649629111040 is a wasteful number, since it uses less digits than its factorization.

2649629111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42836 (or 42816 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2649629111040 in words is "two trillion, six hundred forty-nine billion, six hundred twenty-nine million, one hundred eleven thousand, forty".