2618900951040 has 3328 divisors, whose sum is σ = 11957339750400. Its totient is φ = 535088332800.

The previous prime is 2618900951039. The next prime is 2618900951047. The reversal of 2618900951040 is 401590098162.

2618900951040 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 90 + 0 + 9 + 510 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2618900951047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60904673259 + ... + 60904673301.

Almost surely, 2^{2618900951040} is an apocalyptic number.

2618900951040 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 2618900951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978669875200).

2618900951040 is an abundant number, since it is smaller than the sum of its proper divisors (9338438799360).

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

2618900951040 is a wasteful number, since it uses less digits than its factorization.

2618900951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 2618900951040 in words is "two trillion, six hundred eighteen billion, nine hundred million, nine hundred fifty-one thousand, forty".