2940206804640 has 1152 divisors, whose sum is σ = 12552441108480. Its totient is φ = 634894848000.

The previous prime is 2940206804597. The next prime is 2940206804651. The reversal of 2940206804640 is 464086020492.

2940206804640 is a `hidden beast` number, since 2 + 94 + 0 + 20 + 6 + 80 + 464 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2797532115 + ... + 2797533165.

It is an arithmetic number, because the mean of its divisors is an integer number (10896216240).

Almost surely, 2^{2940206804640} is an apocalyptic number.

2940206804640 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 2940206804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276220554240).

2940206804640 is an abundant number, since it is smaller than the sum of its proper divisors (9612234303840).

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

2940206804640 is a wasteful number, since it uses less digits than its factorization.

2940206804640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2940206804640 in words is "two trillion, nine hundred forty billion, two hundred six million, eight hundred four thousand, six hundred forty".