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2940215040 = 283257192101
BaseRepresentation
bin1010111101000000…
…0001111100000000
321120220112101210100
42233100001330000
522010143340130
61203431002400
7132601262340
oct25720017400
97526471710
102940215040
111279747094
126a0809400
1337b1b1419
141dc6c2d20
151231d4c60
hexaf401f00

2940215040 has 648 divisors, whose sum is σ = 12391692768. Its totient is φ = 630374400.

The previous prime is 2940215039. The next prime is 2940215053. The reversal of 2940215040 is 405120492.

It is a junction number, because it is equal to n+sod(n) for n = 2940214995 and 2940215013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29110990 + ... + 29111090.

Almost surely, 22940215040 is an apocalyptic number.

2940215040 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 2940215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195846384).

2940215040 is an abundant number, since it is smaller than the sum of its proper divisors (9451477728).

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

2940215040 is a wasteful number, since it uses less digits than its factorization.

2940215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2940215040 is about 54223.7497781184. The cubic root of 2940215040 is about 1432.6046778947.

The spelling of 2940215040 in words is "two billion, nine hundred forty million, two hundred fifteen thousand, forty".