2978000351640 has 384 divisors, whose sum is σ = 10236521655360. Its totient is φ = 778374365184.

The previous prime is 2978000351639. The next prime is 2978000351659. The reversal of 2978000351640 is 461530008792.

2978000351640 is a `hidden beast` number, since 2 + 97 + 8 + 0 + 0 + 0 + 3 + 516 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668160292 + ... + 668164748.

It is a 1-persistent number, because it is pandigital, but 2⋅2978000351640 = 5956000703280 is not.

Almost surely, 2^{2978000351640} is an apocalyptic number.

2978000351640 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 2978000351640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118260827680).

2978000351640 is an abundant number, since it is smaller than the sum of its proper divisors (7258521303720).

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

2978000351640 is a wasteful number, since it uses less digits than its factorization.

2978000351640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2978000351640 in words is "two trillion, nine hundred seventy-eight billion, three hundred fifty-one thousand, six hundred forty".