2790970947072 has 640 divisors, whose sum is σ = 10519349575680. Its totient is φ = 709490810880.

The previous prime is 2790970947067. The next prime is 2790970947101. The reversal of 2790970947072 is 2707490790972.

2790970947072 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 97 + 0 + 9 + 470 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50001163 + ... + 50056949.

It is an arithmetic number, because the mean of its divisors is an integer number (16436483712).

Almost surely, 2^{2790970947072} is an apocalyptic number.

2790970947072 is a gapful number since it is divisible by the number (22) 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 2790970947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259674787840).

2790970947072 is an abundant number, since it is smaller than the sum of its proper divisors (7728378628608).

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

2790970947072 is a wasteful number, since it uses less digits than its factorization.

2790970947072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55879 (or 55857 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 2790970947072 in words is "two trillion, seven hundred ninety billion, nine hundred seventy million, nine hundred forty-seven thousand, seventy-two".